7628257 has 16 divisors (see below), whose sum is σ = 9942912. Its totient is φ = 5679360.

The previous prime is 7628251. The next prime is 7628293. The reversal of 7628257 is 7528267.

7628257 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7628257 - 2⁷ = 7628129 is a prime.

It is a super-4 number, since 4×7628257⁴ (a number of 29 digits) contains 4444 as substring.

It is an Ulam number.

7628257 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7628251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919 + ... + 4012.

It is an arithmetic number, because the mean of its divisors is an integer number (621432).

Almost surely, 2^7628257 is an apocalyptic number.

It is an amenable number.

7628257 is a deficient number, since it is larger than the sum of its proper divisors (2314655).

7628257 is a wasteful number, since it uses less digits than its factorization.

7628257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968.

The product of its digits is 47040, while the sum is 37.

The square root of 7628257 is about 2761.9299411824. The cubic root of 7628257 is about 196.8528795841.

The spelling of 7628257 in words is "seven million, six hundred twenty-eight thousand, two hundred fifty-seven".