91628006400 has 396 divisors, whose sum is σ = 374945583792. Its totient is φ = 20943175680.

The previous prime is 91628006389. The next prime is 91628006401. The reversal of 91628006400 is 460082619.

91628006400 is a `hidden beast` number, since 9 + 1 + 6 + 2 + 8 + 0 + 0 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (91628006401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1584394 + ... + 1641206.

Almost surely, 2^91628006400 is an apocalyptic number.

91628006400 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 91628006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187472791896).

91628006400 is an abundant number, since it is smaller than the sum of its proper divisors (283317577392).

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

91628006400 is a wasteful number, since it uses less digits than its factorization.

91628006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56856 (or 56830 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 91628006400 in words is "ninety-one billion, six hundred twenty-eight million, six thousand, four hundred".