2828595000 has 640 divisors, whose sum is σ = 11516313600. Its totient is φ = 561600000.

The previous prime is 2828594917. The next prime is 2828595059. The reversal of 2828595000 is 5958282.

2828595000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2828595000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35804961 + ... + 35805039.

It is an arithmetic number, because the mean of its divisors is an integer number (17994240).

Almost surely, 2^2828595000 is an apocalyptic number.

2828595000 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 2828595000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758156800).

2828595000 is an abundant number, since it is smaller than the sum of its proper divisors (8687718600).

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

2828595000 is a wasteful number, since it uses less digits than its factorization.

2828595000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 2828595000 is about 53184.5372265285. The cubic root of 2828595000 is about 1414.2415410285.

The spelling of 2828595000 in words is "two billion, eight hundred twenty-eight million, five hundred ninety-five thousand".