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28172904448 = 2111310110477
BaseRepresentation
bin11010001111001111…
…000110100000000000
32200201102021211110111
4122033033012200000
5430144230420243
620535323041104
72015102510443
oct321717064000
980642254414
1028172904448
1110a47963107
125563070194
13286c9a9080
14151391b65a
15aed51c39d
hex68f3c6800

28172904448 has 96 divisors (see below), whose sum is σ = 61271781480. Its totient is φ = 12872908800.

The previous prime is 28172904421. The next prime is 28172904457. The reversal of 28172904448 is 84440927182.

It can be written as a sum of positive squares in 4 ways, for example, as 27465769984 + 707134464 = 165728^2 + 26592^2 .

It is a super-2 number, since 2×281729044482 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2683786 + ... + 2694262.

Almost surely, 228172904448 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 28172904448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30635890740).

28172904448 is an abundant number, since it is smaller than the sum of its proper divisors (33098877032).

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

28172904448 is a wasteful number, since it uses less digits than its factorization.

28172904448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 28172904448 in words is "twenty-eight billion, one hundred seventy-two million, nine hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 256 404 416 512 808 832 1024 1313 1616 1664 2048 2626 3232 3328 5252 6464 6656 10477 10504 12928 13312 20954 21008 25856 26624 41908 42016 51712 83816 84032 103424 136201 167632 168064 206848 272402 335264 336128 544804 670528 672256 1058177 1089608 1341056 1344512 2116354 2179216 2682112 2689024 4232708 4358432 5364224 8465416 8716864 10728448 13756301 16930832 17433728 21456896 27512602 33861664 34867456 55025204 67723328 69734912 110050408 135446656 139469824 220100816 270893312 278939648 440201632 541786624 880403264 1083573248 1760806528 2167146496 3521613056 7043226112 14086452224 28172904448