7628950 has 48 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 2570400.

The previous prime is 7628947. The next prime is 7628963. The reversal of 7628950 is 598267.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 24697 + ... + 25003.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 2^7628950 is an apocalyptic number.

7628950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7628950 is an abundant number, since it is smaller than the sum of its proper divisors (8869994).

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

7628950 is a wasteful number, since it uses less digits than its factorization.

7628950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 7628950 is about 2762.0553940861. The cubic root of 7628950 is about 196.8588405314.

The spelling of 7628950 in words is "seven million, six hundred twenty-eight thousand, nine hundred fifty".