28590700320 has 864 divisors, whose sum is σ = 124229064960. Its totient is φ = 5933813760.

The previous prime is 28590700297. The next prime is 28590700337. The reversal of 28590700320 is 2300709582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65126661 + ... + 65127099.

It is an arithmetic number, because the mean of its divisors is an integer number (143783640).

Almost surely, 2^28590700320 is an apocalyptic number.

28590700320 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 28590700320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62114532480).

28590700320 is an abundant number, since it is smaller than the sum of its proper divisors (95638364640).

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

28590700320 is a wasteful number, since it uses less digits than its factorization.

28590700320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 28590700320 in words is "twenty-eight billion, five hundred ninety million, seven hundred thousand, three hundred twenty".