1900561128 has 64 divisors (see below), whose sum is σ = 4934645760. Its totient is φ = 609529536.

The previous prime is 1900561111. The next prime is 1900561147. The reversal of 1900561128 is 8211650091.

It is a super-2 number, since 2×1900561128² = 7224265202529264768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55401 + ... + 82887.

It is an arithmetic number, because the mean of its divisors is an integer number (77103840).

Almost surely, 2^1900561128 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 1900561128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467322880).

1900561128 is an abundant number, since it is smaller than the sum of its proper divisors (3034084632).

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

1900561128 is a wasteful number, since it uses less digits than its factorization.

1900561128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27606 (or 27602 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 1900561128 is about 43595.4255398431. The cubic root of 1900561128 is about 1238.6842460506.

The spelling of 1900561128 in words is "one billion, nine hundred million, five hundred sixty-one thousand, one hundred twenty-eight".