7535628 has 72 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 2271456.

The previous prime is 7535623. The next prime is 7535629. The reversal of 7535628 is 8265357.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7535592 and 7535601.

It is not an unprimeable number, because it can be changed into a prime (7535623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15493 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 2^7535628 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 7535628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483200).

7535628 is an abundant number, since it is smaller than the sum of its proper divisors (13430772).

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

7535628 is a wasteful number, since it uses less digits than its factorization.

7535628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 7535628 is about 2745.1098338682. The cubic root of 7535628 is about 196.0528456699.

The spelling of 7535628 in words is "seven million, five hundred thirty-five thousand, six hundred twenty-eight".