7928064 has 144 divisors (see below), whose sum is σ = 24855040. Its totient is φ = 2488320.

The previous prime is 7928059. The next prime is 7928083. The reversal of 7928064 is 4608297.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214254 + ... + 214290.

Almost surely, 2^7928064 is an apocalyptic number.

7928064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427520).

7928064 is an abundant number, since it is smaller than the sum of its proper divisors (16926976).

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

7928064 is a wasteful number, since it uses less digits than its factorization.

7928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7928064 is about 2815.6818002040. The cubic root of 7928064 is about 199.3987275017.

The spelling of 7928064 in words is "seven million, nine hundred twenty-eight thousand, sixty-four".