18829328400 has 135 divisors (see below), whose sum is σ = 65371583901. Its totient is φ = 5018958720.

The previous prime is 18829328393. The next prime is 18829328407. The reversal of 18829328400 is 482392881.

The square root of 18829328400 is 137220.

It is a perfect power (a square), and thus also a powerful number.

18829328400 is a `hidden beast` number, since 1 + 88 + 293 + 284 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18829328393) and next prime (18829328407).

It can be written as a sum of positive squares in only one way, i.e., 6778558224 + 12050770176 = 82332^2 + 109776^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18829328407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8232057 + ... + 8234343.

Almost surely, 2^18829328400 is an apocalyptic number.

18829328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18829328400 is the 137220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18829328400

18829328400 is an abundant number, since it is smaller than the sum of its proper divisors (46542255501).

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

18829328400 is an equidigital number, since it uses as much as digits as its factorization.

18829328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18829328400 in words is "eighteen billion, eight hundred twenty-nine million, three hundred twenty-eight thousand, four hundred".