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28772960 = 255315801
BaseRepresentation
bin110110111000…
…0101001100000
32000010211002012
41231300221200
524331213320
62504412052
7466365116
oct155605140
960124065
1028772960
1115272607
129777028
135c65628
143b6dab6
1527d54c5
hex1b70a60

28772960 has 48 divisors (see below), whose sum is σ = 70180992. Its totient is φ = 11136000.

The previous prime is 28772951. The next prime is 28772983. The reversal of 28772960 is 6927782.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2060 + ... + 7860.

It is an arithmetic number, because the mean of its divisors is an integer number (1462104).

Almost surely, 228772960 is an apocalyptic number.

28772960 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 28772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35090496).

28772960 is an abundant number, since it is smaller than the sum of its proper divisors (41408032).

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

28772960 is a wasteful number, since it uses less digits than its factorization.

28772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 28772960 is about 5364.0432511306. The cubic root of 28772960 is about 306.4278123308.

The spelling of 28772960 in words is "twenty-eight million, seven hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 5801 11602 23204 29005 46408 58010 92816 116020 179831 185632 232040 359662 464080 719324 899155 928160 1438648 1798310 2877296 3596620 5754592 7193240 14386480 28772960