9128295000 has 480 divisors, whose sum is σ = 35001046080. Its totient is φ = 2209680000.

The previous prime is 9128294951. The next prime is 9128295013. The reversal of 9128295000 is 5928219.

9128295000 is a `hidden beast` number, since 9 + 128 + 29 + 500 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13364659 + ... + 13365341.

It is an arithmetic number, because the mean of its divisors is an integer number (72918846).

Almost surely, 2^9128295000 is an apocalyptic number.

9128295000 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 9128295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500523040).

9128295000 is an abundant number, since it is smaller than the sum of its proper divisors (25872751080).

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

9128295000 is a wasteful number, since it uses less digits than its factorization.

9128295000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9128295000 is about 95542.1111343056. Note that the first 4 decimals coincide. The cubic root of 9128295000 is about 2089.9210916234.

The spelling of 9128295000 in words is "nine billion, one hundred twenty-eight million, two hundred ninety-five thousand".