28933632 has 320 divisors, whose sum is σ = 109992960. Its totient is φ = 7299072.

The previous prime is 28933621. The next prime is 28933649. The reversal of 28933632 is 23633982.

It is a super-2 number, since 2×28933632² = 1674310121422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (46656) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257973 + ... + 1257995.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 2^28933632 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 28933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

28933632 is an abundant number, since it is smaller than the sum of its proper divisors (81059328).

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

28933632 is a wasteful number, since it uses less digits than its factorization.

28933632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 28933632 is about 5378.9991634132. Note that the first 3 decimals coincide. The cubic root of 28933632 is about 306.9971316846.

The spelling of 28933632 in words is "twenty-eight million, nine hundred thirty-three thousand, six hundred thirty-two".