2128292800 has 84 divisors (see below), whose sum is σ = 5249753280. Its totient is φ = 849233920.

The previous prime is 2128292779. The next prime is 2128292807. The reversal of 2128292800 is 82928212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128292807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765012 + ... + 767788.

Almost surely, 2^2128292800 is an apocalyptic number.

2128292800 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 2128292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624876640).

2128292800 is an abundant number, since it is smaller than the sum of its proper divisors (3121460480).

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

2128292800 is a wasteful number, since it uses less digits than its factorization.

2128292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 2128292800 is about 46133.4238920113. The cubic root of 2128292800 is about 1286.3045087859.

The spelling of 2128292800 in words is "two billion, one hundred twenty-eight million, two hundred ninety-two thousand, eight hundred".