28812432960 has 168 divisors, whose sum is σ = 104318897280. Its totient is φ = 7278916608.

The previous prime is 28812432953. The next prime is 28812432967. The reversal of 28812432960 is 6923421882.

It is an interprime number because it is at equal distance from previous prime (28812432953) and next prime (28812432967).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (28812432967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 208552 + ... + 317991.

Almost surely, 2^28812432960 is an apocalyptic number.

28812432960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28812432960 is an abundant number, since it is smaller than the sum of its proper divisors (75506464320).

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

28812432960 is a wasteful number, since it uses less digits than its factorization.

28812432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526585 (or 526572 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28812432960 in words is "twenty-eight billion, eight hundred twelve million, four hundred thirty-two thousand, nine hundred sixty".