1868628000 has 96 divisors (see below), whose sum is σ = 6121664640. Its totient is φ = 498297600.

The previous prime is 1868627989. The next prime is 1868628007. The reversal of 1868628000 is 8268681.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1868628000.

It is not an unprimeable number, because it can be changed into a prime (1868628007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65860 + ... + 89859.

It is an arithmetic number, because the mean of its divisors is an integer number (63767340).

Almost surely, 2^1868628000 is an apocalyptic number.

1868628000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1868628000 is an abundant number, since it is smaller than the sum of its proper divisors (4253036640).

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

1868628000 is a wasteful number, since it uses less digits than its factorization.

1868628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155747 (or 155729 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1868628000 is about 43227.6300530112. The cubic root of 1868628000 is about 1231.7075892862.

The spelling of 1868628000 in words is "one billion, eight hundred sixty-eight million, six hundred twenty-eight thousand".