7388928 has 72 divisors (see below), whose sum is σ = 21870800. Its totient is φ = 2460672.

The previous prime is 7388923. The next prime is 7388933. The reversal of 7388928 is 8298837.

It is an interprime number because it is at equal distance from previous prime (7388923) and next prime (7388933).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7388921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6378 + ... + 7446.

Almost surely, 2^7388928 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 7388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10935400).

7388928 is an abundant number, since it is smaller than the sum of its proper divisors (14481872).

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

7388928 is a wasteful number, since it uses less digits than its factorization.

7388928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1074 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 7388928 is about 2718.2582658754. The cubic root of 7388928 is about 194.7722785486.

Subtracting 7388928 from its reverse (8298837), we obtain a palindrome (909909).

The spelling of 7388928 in words is "seven million, three hundred eighty-eight thousand, nine hundred twenty-eight".