2828335440 has 160 divisors (see below), whose sum is σ = 10547896320. Its totient is φ = 612444672.

The previous prime is 2828335429. The next prime is 2828335453. The reversal of 2828335440 is 445338282.

It is a super-2 number, since 2×2828335440² = 15998962722319987200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12384 + ... + 76223.

It is an arithmetic number, because the mean of its divisors is an integer number (65924352).

Almost surely, 2^2828335440 is an apocalyptic number.

2828335440 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 2828335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273948160).

2828335440 is an abundant number, since it is smaller than the sum of its proper divisors (7719560880).

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

2828335440 is a wasteful number, since it uses less digits than its factorization.

2828335440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88649 (or 88643 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2828335440 is about 53182.0969876142. The cubic root of 2828335440 is about 1414.1982814169.

The spelling of 2828335440 in words is "two billion, eight hundred twenty-eight million, three hundred thirty-five thousand, four hundred forty".