7838628 has 36 divisors (see below), whose sum is σ = 21277872. Its totient is φ = 2239440.

The previous prime is 7838591. The next prime is 7838641. The reversal of 7838628 is 8268387.

It is a super-2 number, since 2×7838628² = 122888177844768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7838628.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6078 + ... + 7253.

It is an arithmetic number, because the mean of its divisors is an integer number (591052).

Almost surely, 2^7838628 is an apocalyptic number.

It is an amenable number.

7838628 is an abundant number, since it is smaller than the sum of its proper divisors (13439244).

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

7838628 is a wasteful number, since it uses less digits than its factorization.

7838628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352 (or 13343 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 7838628 is about 2799.7549892803. The cubic root of 7838628 is about 198.6460886353.

The spelling of 7838628 in words is "seven million, eight hundred thirty-eight thousand, six hundred twenty-eight".