28752494400 has 1512 divisors, whose sum is σ = 132275640960. Its totient is φ = 6053806080.

The previous prime is 28752494333. The next prime is 28752494411. The reversal of 28752494400 is 449425782.

28752494400 is a `hidden beast` number, since 2 + 87 + 524 + 9 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 611755177 + ... + 611755223.

Almost surely, 2^28752494400 is an apocalyptic number.

28752494400 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 28752494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66137820480).

28752494400 is an abundant number, since it is smaller than the sum of its proper divisors (103523146560).

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

28752494400 is a wasteful number, since it uses less digits than its factorization.

28752494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 287524 and 94400, that added together give a square (381924 = 618²).

The spelling of 28752494400 in words is "twenty-eight billion, seven hundred fifty-two million, four hundred ninety-four thousand, four hundred".