7628364 has 96 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 2337984.

The previous prime is 7628347. The next prime is 7628377. The reversal of 7628364 is 4638267.

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91867 + ... + 91949.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^7628364 is an apocalyptic number.

7628364 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7628364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

7628364 is an abundant number, since it is smaller than the sum of its proper divisors (13821876).

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

7628364 is a wasteful number, since it uses less digits than its factorization.

7628364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7628364 is about 2761.9493116276. The cubic root of 7628364 is about 196.8537999848.

The spelling of 7628364 in words is "seven million, six hundred twenty-eight thousand, three hundred sixty-four".