628598880 has 720 divisors, whose sum is σ = 2812338144. Its totient is φ = 129392640.

The previous prime is 628598879. The next prime is 628598911. The reversal of 628598880 is 88895826.

628598880 = 53² + 54² + ... + 1235².

628598880 is a `hidden beast` number, since 628 + 5 + 9 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15331660 + ... + 15331700.

Almost surely, 2^628598880 is an apocalyptic number.

628598880 is a gapful number since it is divisible by the number (60) 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 628598880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406169072).

628598880 is an abundant number, since it is smaller than the sum of its proper divisors (2183739264).

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

628598880 is a wasteful number, since it uses less digits than its factorization.

628598880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 628598880 is about 25071.8742817525. The cubic root of 628598880 is about 856.6258997054.

The spelling of 628598880 in words is "six hundred twenty-eight million, five hundred ninety-eight thousand, eight hundred eighty".