28890965520 has 320 divisors, whose sum is σ = 106154634240. Its totient is φ = 7196884992.

The previous prime is 28890965501. The next prime is 28890965531. The reversal of 28890965520 is 2556909882.

28890965520 is a `hidden beast` number, since 2 + 8 + 89 + 0 + 9 + 6 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5027769 + ... + 5033511.

It is an arithmetic number, because the mean of its divisors is an integer number (331733232).

Almost surely, 2^28890965520 is an apocalyptic number.

28890965520 is a gapful number since it is divisible by the number (20) 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 28890965520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53077317120).

28890965520 is an abundant number, since it is smaller than the sum of its proper divisors (77263668720).

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

28890965520 is a wasteful number, since it uses less digits than its factorization.

28890965520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 28890965520 in words is "twenty-eight billion, eight hundred ninety million, nine hundred sixty-five thousand, five hundred twenty".