28633917312 has 1280 divisors, whose sum is σ = 119431065600. Its totient is φ = 6569164800.

The previous prime is 28633917287. The next prime is 28633917337. The reversal of 28633917312 is 21371933682.

28633917312 is a `hidden beast` number, since 2 + 8 + 633 + 9 + 1 + 7 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28633917287) and next prime (28633917337).

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 159 ways as a sum of consecutive naturals, for example, 321729364 + ... + 321729452.

It is an arithmetic number, because the mean of its divisors is an integer number (93305520).

Almost surely, 2^28633917312 is an apocalyptic number.

28633917312 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 28633917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59715532800).

28633917312 is an abundant number, since it is smaller than the sum of its proper divisors (90797148288).

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

28633917312 is a wasteful number, since it uses less digits than its factorization.

28633917312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 28633917312 in words is "twenty-eight billion, six hundred thirty-three million, nine hundred seventeen thousand, three hundred twelve".