92828970000 has 800 divisors, whose sum is σ = 366070320000. Its totient is φ = 22374144000.

The previous prime is 92828969983. The next prime is 92828970001. The reversal of 92828970000 is 7982829.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (92828970001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 186029751 + ... + 186030249.

It is an arithmetic number, because the mean of its divisors is an integer number (457587900).

Almost surely, 2^92828970000 is an apocalyptic number.

92828970000 is a gapful number since it is divisible by the number (90) 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 92828970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183035160000).

92828970000 is an abundant number, since it is smaller than the sum of its proper divisors (273241350000).

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

92828970000 is a wasteful number, since it uses less digits than its factorization.

92828970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 92828970000 in words is "ninety-two billion, eight hundred twenty-eight million, nine hundred seventy thousand".