7628500 has 96 divisors (see below), whose sum is σ = 19393920. Its totient is φ = 2592000.

The previous prime is 7628497. The next prime is 7628513. The reversal of 7628500 is 58267.

7628500 = T₉₆ + T₉₇ + ... + T₃₅₉.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104464 + ... + 104536.

It is an arithmetic number, because the mean of its divisors is an integer number (202020).

Almost surely, 2^7628500 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 7628500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696960).

7628500 is an abundant number, since it is smaller than the sum of its proper divisors (11765420).

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

7628500 is a wasteful number, since it uses less digits than its factorization.

7628500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 7628500 is about 2761.9739318104. The cubic root of 7628500 is about 196.8549698275.

It can be divided in two parts, 7628 and 500, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 7628500 in words is "seven million, six hundred twenty-eight thousand, five hundred".