33825003828 has 192 divisors, whose sum is σ = 101697361920. Its totient is φ = 8495424000.

The previous prime is 33825003787. The next prime is 33825003829. The reversal of 33825003828 is 82830052833.

It is a super-2 number, since 2×33825003828² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 33825003828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33825003829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4008718 + ... + 4017146.

It is an arithmetic number, because the mean of its divisors is an integer number (529673760).

Almost surely, 2^33825003828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33825003828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50848680960).

33825003828 is an abundant number, since it is smaller than the sum of its proper divisors (67872358092).

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

33825003828 is a wasteful number, since it uses less digits than its factorization.

33825003828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8598 (or 8596 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 33825003828 in words is "thirty-three billion, eight hundred twenty-five million, three thousand, eight hundred twenty-eight".