7352928 has 108 divisors (see below), whose sum is σ = 23092524. Its totient is φ = 2217600.

The previous prime is 7352923. The next prime is 7352929. The reversal of 7352928 is 8292537.

It is a happy number.

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 = 7352892 and 7352901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7352923) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34743 + ... + 34953.

Almost surely, 2^7352928 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 7352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546262).

7352928 is an abundant number, since it is smaller than the sum of its proper divisors (15739596).

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

7352928 is a wasteful number, since it uses less digits than its factorization.

7352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7352928 is about 2711.6282931110. The cubic root of 7352928 is about 194.4554432116.

It can be divided in two parts, 735 and 2928, that added together give a palindrome (3663).

The spelling of 7352928 in words is "seven million, three hundred fifty-two thousand, nine hundred twenty-eight".