2857828960 has 144 divisors (see below), whose sum is σ = 7880664960. Its totient is φ = 976496640.

The previous prime is 2857828957. The next prime is 2857828973. The reversal of 2857828960 is 698287582.

It is a happy number.

It is a super-2 number, since 2×2857828960² = 16334372729229363200, 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 23 ways as a sum of consecutive naturals, for example, 3754980 + ... + 3755740.

It is an arithmetic number, because the mean of its divisors is an integer number (54726840).

Almost surely, 2^2857828960 is an apocalyptic number.

2857828960 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 2857828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940332480).

2857828960 is an abundant number, since it is smaller than the sum of its proper divisors (5022836000).

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

2857828960 is a wasteful number, since it uses less digits than its factorization.

2857828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The square root of 2857828960 is about 53458.6659017974. The cubic root of 2857828960 is about 1419.0969858800.

The spelling of 2857828960 in words is "two billion, eight hundred fifty-seven million, eight hundred twenty-eight thousand, nine hundred sixty".