83628792 has 96 divisors (see below), whose sum is σ = 249238080. Its totient is φ = 25171200.

The previous prime is 83628781. The next prime is 83628799. The reversal of 83628792 is 29782638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83628799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43042 + ... + 44942.

It is an arithmetic number, because the mean of its divisors is an integer number (2596230).

Almost surely, 2^83628792 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 83628792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124619040).

83628792 is an abundant number, since it is smaller than the sum of its proper divisors (165609288).

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

83628792 is a wasteful number, since it uses less digits than its factorization.

83628792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1966 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 83628792 is about 9144.8779106120. The cubic root of 83628792 is about 437.3058373263.

The spelling of 83628792 in words is "eighty-three million, six hundred twenty-eight thousand, seven hundred ninety-two".