2858296800 has 144 divisors (see below), whose sum is σ = 9367369200. Its totient is φ = 757002240.

The previous prime is 2858296799. The next prime is 2858296801. The reversal of 2858296800 is 86928582.

It is an interprime number because it is at equal distance from previous prime (2858296799) and next prime (2858296801).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2858296800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858296801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353604 + ... + 361596.

It is an arithmetic number, because the mean of its divisors is an integer number (65051175).

Almost surely, 2^2858296800 is an apocalyptic number.

2858296800 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 2858296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683684600).

2858296800 is an abundant number, since it is smaller than the sum of its proper divisors (6509072400).

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

2858296800 is a wasteful number, since it uses less digits than its factorization.

2858296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 2858296800 is about 53463.0414398582. The cubic root of 2858296800 is about 1419.1744192648.

The spelling of 2858296800 in words is "two billion, eight hundred fifty-eight million, two hundred ninety-six thousand, eight hundred".