84032928 has 144 divisors (see below), whose sum is σ = 277333056. Its totient is φ = 23639040.

The previous prime is 84032917. The next prime is 84032983. The reversal of 84032928 is 82923048.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 84032892 and 84032901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146883 + ... + 147453.

It is an arithmetic number, because the mean of its divisors is an integer number (1925924).

Almost surely, 2^84032928 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 84032928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138666528).

84032928 is an abundant number, since it is smaller than the sum of its proper divisors (193300128).

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

84032928 is a wasteful number, since it uses less digits than its factorization.

84032928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84032928 is about 9166.9475835744. The cubic root of 84032928 is about 438.0091322297.

The spelling of 84032928 in words is "eighty-four million, thirty-two thousand, nine hundred twenty-eight".