28749705600 has 1536 divisors, whose sum is σ = 131134464000. Its totient is φ = 5352652800.

The previous prime is 28749705599. The next prime is 28749705613. The reversal of 28749705600 is 650794782.

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 28749705600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 323030356 + ... + 323030444.

It is an arithmetic number, because the mean of its divisors is an integer number (85374000).

Almost surely, 2^28749705600 is an apocalyptic number.

28749705600 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 28749705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65567232000).

28749705600 is an abundant number, since it is smaller than the sum of its proper divisors (102384758400).

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

28749705600 is a wasteful number, since it uses less digits than its factorization.

28749705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 28749705600 in words is "twenty-eight billion, seven hundred forty-nine million, seven hundred five thousand, six hundred".