7911828000 has 576 divisors, whose sum is σ = 30356726400. Its totient is φ = 1945036800.

The previous prime is 7911827971. The next prime is 7911828059. The reversal of 7911828000 is 8281197.

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

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, 29411866 + ... + 29412134.

It is an arithmetic number, because the mean of its divisors is an integer number (52702650).

Almost surely, 2^7911828000 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 7911828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178363200).

7911828000 is an abundant number, since it is smaller than the sum of its proper divisors (22444898400).

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

7911828000 is a wasteful number, since it uses less digits than its factorization.

7911828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 7911828000 is about 88948.4569849303. The cubic root of 7911828000 is about 1992.6251727199.

The spelling of 7911828000 in words is "seven billion, nine hundred eleven million, eight hundred twenty-eight thousand".