2827989920 has 144 divisors (see below), whose sum is σ = 7982793000. Its totient is φ = 943294464.

The previous prime is 2827989919. The next prime is 2827989937. The reversal of 2827989920 is 299897282.

It can be written as a sum of positive squares in 4 ways, for example, as 2327483536 + 500506384 = 48244^2 + 22372^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285206 + ... + 294954.

Almost surely, 2^2827989920 is an apocalyptic number.

2827989920 is a gapful number since it is divisible by the number (20) 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 2827989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991396500).

2827989920 is an abundant number, since it is smaller than the sum of its proper divisors (5154803080).

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

2827989920 is a wasteful number, since it uses less digits than its factorization.

2827989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The square root of 2827989920 is about 53178.8484267947. The cubic root of 2827989920 is about 1414.1406911606.

The spelling of 2827989920 in words is "two billion, eight hundred twenty-seven million, nine hundred eighty-nine thousand, nine hundred twenty".