83752128 has 84 divisors (see below), whose sum is σ = 242697000. Its totient is φ = 27611136.

The previous prime is 83752091. The next prime is 83752147. The reversal of 83752128 is 82125738.

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

It is a junction number, because it is equal to n+sod(n) for n = 83752092 and 83752101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55123 + ... + 56621.

It is an arithmetic number, because the mean of its divisors is an integer number (2889250).

Almost surely, 2^83752128 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 83752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121348500).

83752128 is an abundant number, since it is smaller than the sum of its proper divisors (158944872).

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

83752128 is a wasteful number, since it uses less digits than its factorization.

83752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1601 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 83752128 is about 9151.6188731830. The cubic root of 83752128 is about 437.5207117270.

The spelling of 83752128 in words is "eighty-three million, seven hundred fifty-two thousand, one hundred twenty-eight".