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28934880 = 2535134637
BaseRepresentation
bin110111001100…
…0001011100000
32000110001012020
41232120023200
524401404010
62512101440
7500641152
oct156301340
960401166
1028934880
1115373227
129834880
135cc1240
143bb2ad2
152818470
hex1b982e0

28934880 has 96 divisors (see below), whose sum is σ = 98177184. Its totient is φ = 7120896.

The previous prime is 28934869. The next prime is 28934881. The reversal of 28934880 is 8843982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×289348802 = 1674454561228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28934881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3922 + ... + 8558.

It is an arithmetic number, because the mean of its divisors is an integer number (1022679).

Almost surely, 228934880 is an apocalyptic number.

28934880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49088592).

28934880 is an abundant number, since it is smaller than the sum of its proper divisors (69242304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28934880 is a wasteful number, since it uses less digits than its factorization.

28934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 28934880 is about 5379.1151688730. The cubic root of 28934880 is about 307.0015455435.

The spelling of 28934880 in words is "twenty-eight million, nine hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 4637 6240 9274 13911 18548 23185 27822 37096 46370 55644 60281 69555 74192 92740 111288 120562 139110 148384 180843 185480 222576 241124 278220 301405 361686 370960 445152 482248 556440 602810 723372 741920 904215 964496 1112880 1205620 1446744 1808430 1928992 2225760 2411240 2893488 3616860 4822480 5786976 7233720 9644960 14467440 28934880