9128948400 has 960 divisors, whose sum is σ = 39987440640. Its totient is φ = 1946419200.

The previous prime is 9128948383. The next prime is 9128948407. The reversal of 9128948400 is 48498219.

9128948400 is a `hidden beast` number, since 91 + 2 + 89 + 484 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9128948407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35521072 + ... + 35521328.

It is an arithmetic number, because the mean of its divisors is an integer number (41653584).

Almost surely, 2^9128948400 is an apocalyptic number.

9128948400 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 9128948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19993720320).

9128948400 is an abundant number, since it is smaller than the sum of its proper divisors (30858492240).

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

9128948400 is a wasteful number, since it uses less digits than its factorization.

9128948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9128948400 is about 95545.5305077113. The cubic root of 9128948400 is about 2089.9709556948.

The spelling of 9128948400 in words is "nine billion, one hundred twenty-eight million, nine hundred forty-eight thousand, four hundred".