28802313960 has 256 divisors, whose sum is σ = 106599628800. Its totient is φ = 6079890432.

The previous prime is 28802313923. The next prime is 28802314001. The reversal of 28802313960 is 6931320882.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534577 + ... + 585983.

It is an arithmetic number, because the mean of its divisors is an integer number (416404800).

Almost surely, 2^28802313960 is an apocalyptic number.

28802313960 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 28802313960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53299814400).

28802313960 is an abundant number, since it is smaller than the sum of its proper divisors (77797314840).

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

28802313960 is a wasteful number, since it uses less digits than its factorization.

28802313960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51480 (or 51476 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 28802313960 in words is "twenty-eight billion, eight hundred two million, three hundred thirteen thousand, nine hundred sixty".