2828000952 has 288 divisors, whose sum is σ = 9352886400. Its totient is φ = 784800576.

The previous prime is 2828000911. The next prime is 2828000971. The reversal of 2828000952 is 2590008282.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15798799 + ... + 15798977.

It is an arithmetic number, because the mean of its divisors is an integer number (32475300).

Almost surely, 2^2828000952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828000952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676443200).

2828000952 is an abundant number, since it is smaller than the sum of its proper divisors (6524885448).

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

2828000952 is an equidigital number, since it uses as much as digits as its factorization.

2828000952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2828000952 is about 53178.9521521438. The cubic root of 2828000952 is about 1414.1425300143.

The spelling of 2828000952 in words is "two billion, eight hundred twenty-eight million, nine hundred fifty-two", and thus it is an aban number.