28249496630784 has 2400 divisors, whose sum is σ = 105174434238720. Its totient is φ = 7488847872000.

The previous prime is 28249496630683. The next prime is 28249496630807. The reversal of 28249496630784 is 48703669494282.

28249496630784 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 9 + 496 + 63 + 0 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 123360247182 + ... + 123360247410.

Almost surely, 2^{28249496630784} is an apocalyptic number.

28249496630784 is a gapful number since it is divisible by the number (24) 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 28249496630784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52587217119360).

28249496630784 is an abundant number, since it is smaller than the sum of its proper divisors (76924937607936).

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

28249496630784 is a wasteful number, since it uses less digits than its factorization.

28249496630784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 28249496630784 in words is "twenty-eight trillion, two hundred forty-nine billion, four hundred ninety-six million, six hundred thirty thousand, seven hundred eighty-four".