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28075872 = 2531122417
BaseRepresentation
bin110101100011…
…0011101100000
31221211101212010
41223012131200
524141411442
62441432520
7460432566
oct153063540
957741763
1028075872
1114936900
12949b740
135a80256
143a2ba36
1526e8b9c
hex1ac6760

28075872 has 72 divisors (see below), whose sum is σ = 81041688. Its totient is φ = 8504320.

The previous prime is 28075841. The next prime is 28075877. The reversal of 28075872 is 27857082.

It is a self number, because there is not a number n which added to its sum of digits gives 28075872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28075877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10408 + ... + 12824.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 228075872 is an apocalyptic number.

28075872 is a gapful number since it is divisible by the number (22) 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 28075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844).

28075872 is an abundant number, since it is smaller than the sum of its proper divisors (52965816).

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

28075872 is a wasteful number, since it uses less digits than its factorization.

28075872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 28075872 is about 5298.6670021808. The cubic root of 28075872 is about 303.9329261069.

The spelling of 28075872 in words is "twenty-eight million, seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2417 2904 3872 4834 5808 7251 9668 11616 14502 19336 26587 29004 38672 53174 58008 77344 79761 106348 116016 159522 212696 232032 292457 319044 425392 584914 638088 850784 877371 1169828 1276176 1754742 2339656 2552352 3509484 4679312 7018968 9358624 14037936 28075872