33522372828 has 384 divisors, whose sum is σ = 111825100800. Its totient is φ = 8453569536.

The previous prime is 33522372823. The next prime is 33522372857. The reversal of 33522372828 is 82827322533.

33522372828 is a `hidden beast` number, since 33 + 522 + 3 + 72 + 8 + 28 = 666.

It is a super-2 number, since 2×33522372828² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33522372823) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 26127475 + ... + 26128757.

It is an arithmetic number, because the mean of its divisors is an integer number (291211200).

Almost surely, 2^33522372828 is an apocalyptic number.

33522372828 is a gapful number since it is divisible by the number (38) 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 33522372828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55912550400).

33522372828 is an abundant number, since it is smaller than the sum of its proper divisors (78302727972).

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

33522372828 is a wasteful number, since it uses less digits than its factorization.

33522372828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 33522372828 in words is "thirty-three billion, five hundred twenty-two million, three hundred seventy-two thousand, eight hundred twenty-eight".