83428704 has 72 divisors (see below), whose sum is σ = 246060360. Its totient is φ = 27806976.

The previous prime is 83428699. The next prime is 83428717. The reversal of 83428704 is 40782438.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×83428704² = 13920697302239232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2412 + ... + 13140.

It is an arithmetic number, because the mean of its divisors is an integer number (3417505).

Almost surely, 2^83428704 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 83428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123030180).

83428704 is an abundant number, since it is smaller than the sum of its proper divisors (162631656).

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

83428704 is a wasteful number, since it uses less digits than its factorization.

83428704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 83428704 is about 9133.9314645995. The cubic root of 83428704 is about 436.9567967455.

The spelling of 83428704 in words is "eighty-three million, four hundred twenty-eight thousand, seven hundred four".