628974500 has 288 divisors, whose sum is σ = 1873767168. Its totient is φ = 178560000.

The previous prime is 628974427. The next prime is 628974503. The reversal of 628974500 is 5479826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628974503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20289485 + ... + 20289515.

It is an arithmetic number, because the mean of its divisors is an integer number (6506136).

Almost surely, 2^628974500 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 628974500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936883584).

628974500 is an abundant number, since it is smaller than the sum of its proper divisors (1244792668).

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

628974500 is a wasteful number, since it uses less digits than its factorization.

628974500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 628974500 is about 25079.3640270243. The cubic root of 628974500 is about 856.7964916687.

The spelling of 628974500 in words is "six hundred twenty-eight million, nine hundred seventy-four thousand, five hundred".