33927828480 has 1760 divisors, whose sum is σ = 159787837440. Its totient is φ = 6688604160.

The previous prime is 33927828427. The next prime is 33927828497. The reversal of 33927828480 is 8482872933.

33927828480 is a `hidden beast` number, since 3 + 3 + 92 + 78 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×33927828480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1094446065 + ... + 1094446095.

It is an arithmetic number, because the mean of its divisors is an integer number (90788544).

Almost surely, 2^33927828480 is an apocalyptic number.

33927828480 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 33927828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79893918720).

33927828480 is an abundant number, since it is smaller than the sum of its proper divisors (125860008960).

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

33927828480 is a wasteful number, since it uses less digits than its factorization.

33927828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 33927828480 in words is "thirty-three billion, nine hundred twenty-seven million, eight hundred twenty-eight thousand, four hundred eighty".