28964762400 has 432 divisors, whose sum is σ = 111249754560. Its totient is φ = 6525388800.

The previous prime is 28964762383. The next prime is 28964762413. The reversal of 28964762400 is 426746982.

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 28964762400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8347866 + ... + 8351334.

It is an arithmetic number, because the mean of its divisors is an integer number (257522580).

Almost surely, 2^28964762400 is an apocalyptic number.

28964762400 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 28964762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55624877280).

28964762400 is an abundant number, since it is smaller than the sum of its proper divisors (82284992160).

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

28964762400 is a wasteful number, since it uses less digits than its factorization.

28964762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 28964762400 in words is "twenty-eight billion, nine hundred sixty-four million, seven hundred sixty-two thousand, four hundred".