83633928 has 64 divisors (see below), whose sum is σ = 242901120. Its totient is φ = 23500800.

The previous prime is 83633881. The next prime is 83633951. The reversal of 83633928 is 82933638.

83633928 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 83633928.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6168 + ... + 14328.

It is an arithmetic number, because the mean of its divisors is an integer number (3795330).

Almost surely, 2^83633928 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 83633928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121450560).

83633928 is an abundant number, since it is smaller than the sum of its proper divisors (159267192).

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

83633928 is a wasteful number, since it uses less digits than its factorization.

83633928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8234 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 83633928 is about 9145.1587192350. The cubic root of 83633928 is about 437.3147894138.

The spelling of 83633928 in words is "eighty-three million, six hundred thirty-three thousand, nine hundred twenty-eight".