28871385600 has 480 divisors, whose sum is σ = 103243320576. Its totient is φ = 7084441600.

The previous prime is 28871385593. The next prime is 28871385679. The reversal of 28871385600 is 658317882.

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

It is a super-3 number, since 3×28871385600³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28871385600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30681130 + ... + 30682070.

Almost surely, 2^28871385600 is an apocalyptic number.

28871385600 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 28871385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51621660288).

28871385600 is an abundant number, since it is smaller than the sum of its proper divisors (74371934976).

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

28871385600 is a wasteful number, since it uses less digits than its factorization.

28871385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 28871385600 in words is "twenty-eight billion, eight hundred seventy-one million, three hundred eighty-five thousand, six hundred".