28800034560 has 864 divisors, whose sum is σ = 119325286080. Its totient is φ = 6330777600.

The previous prime is 28800034541. The next prime is 28800034649. The reversal of 28800034560 is 6543000882.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62472730 + ... + 62473190.

It is an arithmetic number, because the mean of its divisors is an integer number (138107970).

Almost surely, 2^28800034560 is an apocalyptic number.

28800034560 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 28800034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59662643040).

28800034560 is an abundant number, since it is smaller than the sum of its proper divisors (90525251520).

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

28800034560 is a wasteful number, since it uses less digits than its factorization.

28800034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28800034560 in words is "twenty-eight billion, eight hundred million, thirty-four thousand, five hundred sixty".