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28385088 = 2631931251
BaseRepresentation
bin110110001000…
…1111101000000
31222102010000120
41230101331000
524231310323
62452220240
7463161234
oct154217500
958363016
1028385088
1115028156
12960a680
135b5ac14
143aac5c4
15275a5e3
hex1b11f40

28385088 has 112 divisors (see below), whose sum is σ = 81930240. Its totient is φ = 8640000.

The previous prime is 28385081. The next prime is 28385111. The reversal of 28385088 is 88058382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28385081) 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, 112963 + ... + 113213.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 228385088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

28385088 is an abundant number, since it is smaller than the sum of its proper divisors (53545152).

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

28385088 is a wasteful number, since it uses less digits than its factorization.

28385088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 28385088 is about 5327.7657606167. The cubic root of 28385088 is about 305.0446517087.

The spelling of 28385088 in words is "twenty-eight million, three hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 251 304 372 456 496 502 589 608 744 753 912 992 1004 1178 1216 1488 1506 1767 1824 1984 2008 2356 2976 3012 3534 3648 4016 4712 4769 5952 6024 7068 7781 8032 9424 9538 12048 14136 14307 15562 16064 18848 19076 23343 24096 28272 28614 31124 37696 38152 46686 48192 56544 57228 62248 76304 93372 113088 114456 124496 147839 152608 186744 228912 248992 295678 305216 373488 443517 457824 497984 591356 746976 887034 915648 1182712 1493952 1774068 2365424 3548136 4730848 7096272 9461696 14192544 28385088