28612372824 has 192 divisors, whose sum is σ = 92579810400. Its totient is φ = 8163929088.

The previous prime is 28612372819. The next prime is 28612372843. The reversal of 28612372824 is 42827321682.

28612372824 is a `hidden beast` number, since 2 + 8 + 612 + 3 + 7 + 2 + 8 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28612372824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10931964 + ... + 10934580.

Almost surely, 2^28612372824 is an apocalyptic number.

28612372824 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 28612372824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46289905200).

28612372824 is an abundant number, since it is smaller than the sum of its proper divisors (63967437576).

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

28612372824 is a wasteful number, since it uses less digits than its factorization.

28612372824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3662 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 28612372824 in words is "twenty-eight billion, six hundred twelve million, three hundred seventy-two thousand, eight hundred twenty-four".