32923428134400 has 960 divisors, whose sum is σ = 128069484903360. Its totient is φ = 8255648563200.

The previous prime is 32923428134393. The next prime is 32923428134437. The reversal of 32923428134400 is 443182432923.

32923428134400 is a `hidden beast` number, since 3 + 2 + 9 + 23 + 4 + 281 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9523697472 + ... + 9523700928.

It is an arithmetic number, because the mean of its divisors is an integer number (133405713441).

Almost surely, 2^{32923428134400} is an apocalyptic number.

32923428134400 is a gapful number since it is divisible by the number (30) 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 32923428134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64034742451680).

32923428134400 is an abundant number, since it is smaller than the sum of its proper divisors (95146056768960).

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

32923428134400 is a wasteful number, since it uses less digits than its factorization.

32923428134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 32923428134400 in words is "thirty-two trillion, nine hundred twenty-three billion, four hundred twenty-eight million, one hundred thirty-four thousand, four hundred".