7532928 has 96 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 2313216.

The previous prime is 7532839. The next prime is 7532929. The reversal of 7532928 is 8292357.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7 + 5⁸ + 3³ + 2² + 9⁷ + 2²¹ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 7532892 and 7532901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7532929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14725 + ... + 15227.

Almost surely, 2^7532928 is an apocalyptic number.

7532928 is a gapful number since it is divisible by the number (78) 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 7532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

7532928 is an abundant number, since it is smaller than the sum of its proper divisors (15857712).

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

7532928 is a wasteful number, since it uses less digits than its factorization.

7532928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

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

The square root of 7532928 is about 2744.6180062078. The cubic root of 7532928 is about 196.0294277625.

It can be divided in two parts, 75329 and 28, that added together give a palindrome (75357).

The spelling of 7532928 in words is "seven million, five hundred thirty-two thousand, nine hundred twenty-eight".