628092960 has 192 divisors, whose sum is σ = 2205149184. Its totient is φ = 148966400.

The previous prime is 628092943. The next prime is 628092967. The reversal of 628092960 is 69290826.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (628092967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246895 + ... + 249425.

It is an arithmetic number, because the mean of its divisors is an integer number (11485152).

Almost surely, 2^628092960 is an apocalyptic number.

628092960 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 628092960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102574592).

628092960 is an abundant number, since it is smaller than the sum of its proper divisors (1577056224).

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

628092960 is a wasteful number, since it uses less digits than its factorization.

628092960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 628092960 is about 25061.7828575702. The cubic root of 628092960 is about 856.3960231185.

The spelling of 628092960 in words is "six hundred twenty-eight million, ninety-two thousand, nine hundred sixty".