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28373664 = 2531197277
BaseRepresentation
bin110110000111…
…1001010100000
31222101112100110
41230033022200
524230424124
62452051320
7463113024
oct154171240
958345313
1028373664
111501a610
129603b40
135b55967
143aa8384
152757029
hex1b0f2a0

28373664 has 96 divisors (see below), whose sum is σ = 82385856. Its totient is φ = 8478720.

The previous prime is 28373647. The next prime is 28373677. The reversal of 28373664 is 46637382.

28373664 = T307 + T308 + ... + T583.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 102294 + ... + 102570.

It is an arithmetic number, because the mean of its divisors is an integer number (858186).

Almost surely, 228373664 is an apocalyptic number.

28373664 is a gapful number since it is divisible by the number (24) 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 28373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41192928).

28373664 is an abundant number, since it is smaller than the sum of its proper divisors (54012192).

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

28373664 is a wasteful number, since it uses less digits than its factorization.

28373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 28373664 is about 5326.6935335159. The cubic root of 28373664 is about 305.0037229681.

The spelling of 28373664 in words is "twenty-eight million, three hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 277 291 352 388 528 554 582 776 831 1056 1067 1108 1164 1552 1662 2134 2216 2328 3047 3104 3201 3324 4268 4432 4656 6094 6402 6648 8536 8864 9141 9312 12188 12804 13296 17072 18282 24376 25608 26592 26869 34144 36564 48752 51216 53738 73128 80607 97504 102432 107476 146256 161214 214952 292512 295559 322428 429904 591118 644856 859808 886677 1182236 1289712 1773354 2364472 2579424 3546708 4728944 7093416 9457888 14186832 28373664