628992 has 144 divisors (see below), whose sum is σ = 2289280. Its totient is φ = 165888.

The previous prime is 628973. The next prime is 628993. The reversal of 628992 is 299826.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628992.

It is not an unprimeable number, because it can be changed into a prime (628993) by changing a digit.

628992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48378 + ... + 48390.

2⁶²⁸⁹⁹² 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 628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144640).

628992 is an abundant number, since it is smaller than the sum of its proper divisors (1660288).

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

628992 is a wasteful number, since it uses less digits than its factorization.

628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

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

The square root of 628992 is about 793.0901588092. The cubic root of 628992 is about 85.6804437831.

The spelling of 628992 in words is "six hundred twenty-eight thousand, nine hundred ninety-two".