28412852832 has 288 divisors, whose sum is σ = 99771077952. Its totient is φ = 7468941312.

The previous prime is 28412852827. The next prime is 28412852869. The reversal of 28412852832 is 23825821482.

28412852832 is a `hidden beast` number, since 2 + 84 + 12 + 8 + 528 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 8830488 + ... + 8833704.

It is an arithmetic number, because the mean of its divisors is an integer number (346427354).

Almost surely, 2^28412852832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28412852832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49885538976).

28412852832 is an abundant number, since it is smaller than the sum of its proper divisors (71358225120).

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

28412852832 is a wasteful number, since it uses less digits than its factorization.

28412852832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3579 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 28412852832 in words is "twenty-eight billion, four hundred twelve million, eight hundred fifty-two thousand, eight hundred thirty-two".