2821382928 has 400 divisors, whose sum is σ = 10284341760. Its totient is φ = 726838272.

The previous prime is 2821382899. The next prime is 2821382947. The reversal of 2821382928 is 8292831282.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5542738 + ... + 5543246.

Almost surely, 2^2821382928 is an apocalyptic number.

2821382928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821382928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142170880).

2821382928 is an abundant number, since it is smaller than the sum of its proper divisors (7462958832).

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

2821382928 is a wasteful number, since it uses less digits than its factorization.

2821382928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

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

The square root of 2821382928 is about 53116.6916138421. The cubic root of 2821382928 is about 1413.0385535885.

The spelling of 2821382928 in words is "two billion, eight hundred twenty-one million, three hundred eighty-two thousand, nine hundred twenty-eight".