2088828000 has 576 divisors, whose sum is σ = 8814693888. Its totient is φ = 475891200.

The previous prime is 2088827989. The next prime is 2088828011. The reversal of 2088828000 is 8288802.

It is an interprime number because it is at equal distance from previous prime (2088827989) and next prime (2088828011).

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 95 ways as a sum of consecutive naturals, for example, 6803847 + ... + 6804153.

It is an arithmetic number, because the mean of its divisors is an integer number (15303288).

Almost surely, 2^2088828000 is an apocalyptic number.

2088828000 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 2088828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407346944).

2088828000 is an abundant number, since it is smaller than the sum of its proper divisors (6725865888).

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

2088828000 is an equidigital number, since it uses as much as digits as its factorization.

2088828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2088828000 is about 45703.6978810249. The cubic root of 2088828000 is about 1278.3042322722.

The spelling of 2088828000 in words is "two billion, eighty-eight million, eight hundred twenty-eight thousand".