7292628 has 72 divisors (see below), whose sum is σ = 21589568. Its totient is φ = 2032128.

The previous prime is 7292591. The next prime is 7292651. The reversal of 7292628 is 8262927.

7292628 is a `hidden beast` number, since 7 + 29 + 2 + 628 = 666.

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 = 7292592 and 7292601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10500 + ... + 11172.

Almost surely, 2^7292628 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 7292628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794784).

7292628 is an abundant number, since it is smaller than the sum of its proper divisors (14296940).

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

7292628 is a wasteful number, since it uses less digits than its factorization.

7292628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 728 counting only the distinct ones).

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

The square root of 7292628 is about 2700.4866228145. The cubic root of 7292628 is about 193.9224191158.

Subtracting 7292628 from its reverse (8262927), we obtain a cube (970299 = 99³).

The spelling of 7292628 in words is "seven million, two hundred ninety-two thousand, six hundred twenty-eight".