83221728 has 48 divisors (see below), whose sum is σ = 227961216. Its totient is φ = 26533760.

The previous prime is 83221717. The next prime is 83221739. The reversal of 83221728 is 82712238.

It is an interprime number because it is at equal distance from previous prime (83221717) and next prime (83221739).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×83221728² = 13851712022611968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16638 + ... + 21053.

It is an arithmetic number, because the mean of its divisors is an integer number (4749192).

Almost surely, 2^83221728 is an apocalyptic number.

It is an amenable number.

83221728 is an abundant number, since it is smaller than the sum of its proper divisors (144739488).

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

83221728 is a wasteful number, since it uses less digits than its factorization.

83221728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37727 (or 37719 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 83221728 is about 9122.5943678320. The cubic root of 83221728 is about 436.5951527766.

The spelling of 83221728 in words is "eighty-three million, two hundred twenty-one thousand, seven hundred twenty-eight".