28817592320 has 312 divisors, whose sum is σ = 78829201080. Its totient is φ = 10092544000.

The previous prime is 28817592319. The next prime is 28817592341. The reversal of 28817592320 is 2329571882.

It can be written as a sum of positive squares in 4 ways, for example, as 11300540416 + 17517051904 = 106304^2 + 132352^2 .

It is a super-3 number, since 3×28817592320³ (a number of 32 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 71864120 + ... + 71864520.

Almost surely, 2^28817592320 is an apocalyptic number.

28817592320 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 28817592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39414600540).

28817592320 is an abundant number, since it is smaller than the sum of its proper divisors (50011608760).

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

28817592320 is a wasteful number, since it uses less digits than its factorization.

28817592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 28817592320 in words is "twenty-eight billion, eight hundred seventeen million, five hundred ninety-two thousand, three hundred twenty".