8926829328400 has 405 divisors, whose sum is σ = 22818903291639. Its totient is φ = 3355874496000.

The previous prime is 8926829328343. The next prime is 8926829328407. The reversal of 8926829328400 is 48239286298.

The square root of 8926829328400 is 2987780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4111859283984 + 4814970044416 = 2027772^2 + 2194304^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (8926829328407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 112997839561 + ... + 112997839639.

Almost surely, 2^{8926829328400} is an apocalyptic number.

8926829328400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8926829328400 is the 2987780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8926829328400

8926829328400 is an abundant number, since it is smaller than the sum of its proper divisors (13892073963239).

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

8926829328400 is an equidigital number, since it uses as much as digits as its factorization.

8926829328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 8926829328400 in words is "eight trillion, nine hundred twenty-six billion, eight hundred twenty-nine million, three hundred twenty-eight thousand, four hundred".