628992000 has 768 divisors, whose sum is σ = 2861913600. Its totient is φ = 132710400.

The previous prime is 628991999. The next prime is 628992019. The reversal of 628992000 is 299826.

628992000 is a `hidden beast` number, since 628 + 9 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48383994 + ... + 48384006.

It is an arithmetic number, because the mean of its divisors is an integer number (3726450).

Almost surely, 2^628992000 is an apocalyptic number.

628992000 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 628992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430956800).

628992000 is an abundant number, since it is smaller than the sum of its proper divisors (2232921600).

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

628992000 is a wasteful number, since it uses less digits than its factorization.

628992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 628992000 is about 25079.7129170172. The cubic root of 628992000 is about 856.8044378306.

It can be divided in two parts, 6289 and 92000, that added together give a palindrome (98289).

The spelling of 628992000 in words is "six hundred twenty-eight million, nine hundred ninety-two thousand".