1800157728 has 96 divisors (see below), whose sum is σ = 4801882176. Its totient is φ = 590425088.

The previous prime is 1800157703. The next prime is 1800157747. The reversal of 1800157728 is 8277510081.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1776550 + ... + 1777562.

It is an arithmetic number, because the mean of its divisors is an integer number (50019606).

Almost surely, 2^1800157728 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 1800157728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400941088).

1800157728 is an abundant number, since it is smaller than the sum of its proper divisors (3001724448).

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

1800157728 is a wasteful number, since it uses less digits than its factorization.

1800157728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The square root of 1800157728 is about 42428.2656727800. The cubic root of 1800157728 is about 1216.4759289494.

The spelling of 1800157728 in words is "one billion, eight hundred million, one hundred fifty-seven thousand, seven hundred twenty-eight".