83028544 has 63 divisors (see below), whose sum is σ = 177672873. Its totient is φ = 38489088.

The previous prime is 83028529. The next prime is 83028553. The reversal of 83028544 is 44582038.

The square root of 83028544 is 9112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64641600 + 18386944 = 8040^2 + 4288^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1239199 + ... + 1239265.

Almost surely, 2^83028544 is an apocalyptic number.

83028544 is the 9112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83028544

83028544 is an abundant number, since it is smaller than the sum of its proper divisors (94644329).

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

83028544 is an equidigital number, since it uses as much as digits as its factorization.

83028544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The cubic root of 83028544 is about 436.2570658100.

The spelling of 83028544 in words is "eighty-three million, twenty-eight thousand, five hundred forty-four".