7607628 has 96 divisors (see below), whose sum is σ = 23385600. Its totient is φ = 2092608.

The previous prime is 7607627. The next prime is 7607629. The reversal of 7607628 is 8267067.

7607628 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7607627) and next prime (7607629).

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 = 7607592 and 7607601.

It is not an unprimeable number, because it can be changed into a prime (7607627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21751 + ... + 22097.

It is an arithmetic number, because the mean of its divisors is an integer number (243600).

Almost surely, 2^7607628 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 7607628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692800).

7607628 is an abundant number, since it is smaller than the sum of its proper divisors (15777972).

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

7607628 is a wasteful number, since it uses less digits than its factorization.

7607628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7607628 is about 2758.1928866560. The cubic root of 7607628 is about 196.6752704589.

The spelling of 7607628 in words is "seven million, six hundred seven thousand, six hundred twenty-eight".