1821642888 has 192 divisors, whose sum is σ = 5407430400. Its totient is φ = 508784640.

The previous prime is 1821642887. The next prime is 1821642923. The reversal of 1821642888 is 8882461281.

It is a super-2 number, since 2×1821642888² = 6636765622801961088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1821642881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1999153 + ... + 2000063.

It is an arithmetic number, because the mean of its divisors is an integer number (28163700).

Almost surely, 2^1821642888 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 1821642888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703715200).

1821642888 is an abundant number, since it is smaller than the sum of its proper divisors (3585787512).

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

1821642888 is a wasteful number, since it uses less digits than its factorization.

1821642888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 975 counting only the distinct ones).

The product of its digits is 393216, while the sum is 48.

The square root of 1821642888 is about 42680.7086164229. The cubic root of 1821642888 is about 1221.2964110290.

The spelling of 1821642888 in words is "one billion, eight hundred twenty-one million, six hundred forty-two thousand, eight hundred eighty-eight".