28446898990752 has 576 divisors, whose sum is σ = 96016177281024. Its totient is φ = 7891746693120.

The previous prime is 28446898990729. The next prime is 28446898990753. The reversal of 28446898990752 is 25709989864482.

28446898990752 is a `hidden beast` number, since 2 + 8 + 4 + 468 + 9 + 89 + 9 + 0 + 75 + 2 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28446898990753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412556343 + ... + 412625289.

It is an arithmetic number, because the mean of its divisors is an integer number (166694752224).

Almost surely, 2^{28446898990752} is an apocalyptic number.

28446898990752 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 28446898990752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48008088640512).

28446898990752 is an abundant number, since it is smaller than the sum of its proper divisors (67569278290272).

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

28446898990752 is a wasteful number, since it uses less digits than its factorization.

28446898990752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69201 (or 69190 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 28446898990752 in words is "twenty-eight trillion, four hundred forty-six billion, eight hundred ninety-eight million, nine hundred ninety thousand, seven hundred fifty-two".