2828761400 has 48 divisors (see below), whose sum is σ = 6594220800. Its totient is φ = 1128519680.

The previous prime is 2828761399. The next prime is 2828761451. The reversal of 2828761400 is 41678282.

2828761400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58136 + ... + 95064.

It is an arithmetic number, because the mean of its divisors is an integer number (137379600).

Almost surely, 2^2828761400 is an apocalyptic number.

2828761400 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 2828761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297110400).

2828761400 is an abundant number, since it is smaller than the sum of its proper divisors (3765459400).

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

2828761400 is a wasteful number, since it uses less digits than its factorization.

2828761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37328 (or 37319 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 2828761400 is about 53186.1015679848. The cubic root of 2828761400 is about 1414.2692727208.

The spelling of 2828761400 in words is "two billion, eight hundred twenty-eight million, seven hundred sixty-one thousand, four hundred".