84457728 has 90 divisors (see below), whose sum is σ = 251899494. Its totient is φ = 28145664.

The previous prime is 84457687. The next prime is 84457753. The reversal of 84457728 is 82775448.

It can be written as a sum of positive squares in only one way, i.e., 56070144 + 28387584 = 7488^2 + 5328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18700 + ... + 22772.

Almost surely, 2^84457728 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 84457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125949747).

84457728 is an abundant number, since it is smaller than the sum of its proper divisors (167441766).

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

84457728 is an equidigital number, since it uses as much as digits as its factorization.

84457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4078 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 84457728 is about 9190.0885741107. The cubic root of 84457728 is about 438.7459609534.

The spelling of 84457728 in words is "eighty-four million, four hundred fifty-seven thousand, seven hundred twenty-eight".