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28769520 = 2435139221
BaseRepresentation
bin110110110111…
…1110011110000
32000010122100210
41231233303300
524331111040
62504344120
7466352103
oct155576360
960118323
1028769520
111526aa6a
129775040
135c63bb0
143b6c73a
1527d4480
hex1b6fcf0

28769520 has 80 divisors (see below), whose sum is σ = 96056352. Its totient is φ = 7080960.

The previous prime is 28769473. The next prime is 28769539. The reversal of 28769520 is 2596782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491 + ... + 7730.

Almost surely, 228769520 is an apocalyptic number.

28769520 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 28769520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48028176).

28769520 is an abundant number, since it is smaller than the sum of its proper divisors (67286832).

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

28769520 is a wasteful number, since it uses less digits than its factorization.

28769520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9250 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 28769520 is about 5363.7225879048. The cubic root of 28769520 is about 306.4156000120.

The spelling of 28769520 in words is "twenty-eight million, seven hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 9221 18442 27663 36884 46105 55326 73768 92210 110652 119873 138315 147536 184420 221304 239746 276630 359619 368840 442608 479492 553260 599365 719238 737680 958984 1106520 1198730 1438476 1798095 1917968 2213040 2397460 2876952 3596190 4794920 5753904 7192380 9589840 14384760 28769520