28882552320 has 480 divisors, whose sum is σ = 107377189920. Its totient is φ = 7431782400.

The previous prime is 28882552319. The next prime is 28882552367. The reversal of 28882552320 is 2325528882.

28882552320 is a `hidden beast` number, since 2 + 8 + 88 + 25 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 18039520 + ... + 18041120.

It is an arithmetic number, because the mean of its divisors is an integer number (223702479).

Almost surely, 2^28882552320 is an apocalyptic number.

28882552320 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 28882552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53688594960).

28882552320 is an abundant number, since it is smaller than the sum of its proper divisors (78494637600).

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

28882552320 is an equidigital number, since it uses as much as digits as its factorization.

28882552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 28882552320 in words is "twenty-eight billion, eight hundred eighty-two million, five hundred fifty-two thousand, three hundred twenty".