32878228800 has 168 divisors, whose sum is σ = 108006587136. Its totient is φ = 8756264960.

The previous prime is 32878228739. The next prime is 32878228849. The reversal of 32878228800 is 882287823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 32878228800.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4138432 + ... + 4146368.

It is an arithmetic number, because the mean of its divisors is an integer number (642896352).

Almost surely, 2^32878228800 is an apocalyptic number.

32878228800 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 32878228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54003293568).

32878228800 is an abundant number, since it is smaller than the sum of its proper divisors (75128358336).

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

32878228800 is a wasteful number, since it uses less digits than its factorization.

32878228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 32878228800 in words is "thirty-two billion, eight hundred seventy-eight million, two hundred twenty-eight thousand, eight hundred".