33128438400 has 768 divisors, whose sum is σ = 127942108800. Its totient is φ = 8360755200.

The previous prime is 33128438389. The next prime is 33128438419. The reversal of 33128438400 is 483482133.

It is a happy number.

33128438400 is a `hidden beast` number, since 331 + 284 + 3 + 8 + 40 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 137462280 + ... + 137462520.

Almost surely, 2^33128438400 is an apocalyptic number.

33128438400 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 33128438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63971054400).

33128438400 is an abundant number, since it is smaller than the sum of its proper divisors (94813670400).

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

33128438400 is a wasteful number, since it uses less digits than its factorization.

33128438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 33128438400 in words is "thirty-three billion, one hundred twenty-eight million, four hundred thirty-eight thousand, four hundred".