28491782400 has 1080 divisors, whose sum is σ = 115511684904. Its totient is φ = 6900940800.

The previous prime is 28491782399. The next prime is 28491782411. The reversal of 28491782400 is 428719482.

28491782400 is a `hidden beast` number, since 2 + 84 + 91 + 7 + 82 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8414025984 + 20077756416 = 91728^2 + 141696^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 467078370 + ... + 467078430.

Almost surely, 2^28491782400 is an apocalyptic number.

28491782400 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 28491782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57755842452).

28491782400 is an abundant number, since it is smaller than the sum of its proper divisors (87019902504).

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

28491782400 is a wasteful number, since it uses less digits than its factorization.

28491782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28491782400 in words is "twenty-eight billion, four hundred ninety-one million, seven hundred eighty-two thousand, four hundred".