28623272832 has 512 divisors, whose sum is σ = 108984960000. Its totient is φ = 7176314880.

The previous prime is 28623272807. The next prime is 28623272879. The reversal of 28623272832 is 23827232682.

28623272832 is a `hidden beast` number, since 286 + 23 + 272 + 83 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7715394 + ... + 7719102.

It is an arithmetic number, because the mean of its divisors is an integer number (212861250).

Almost surely, 2^28623272832 is an apocalyptic number.

28623272832 is a gapful number since it is divisible by the number (22) 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 28623272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54492480000).

28623272832 is an abundant number, since it is smaller than the sum of its proper divisors (80361687168).

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

28623272832 is a wasteful number, since it uses less digits than its factorization.

28623272832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3761 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 28623272832 in words is "twenty-eight billion, six hundred twenty-three million, two hundred seventy-two thousand, eight hundred thirty-two".