33121377828 has 288 divisors, whose sum is σ = 110170045440. Its totient is φ = 8128408320.

The previous prime is 33121377799. The next prime is 33121377829. The reversal of 33121377828 is 82877312133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (33121377829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29651526 + ... + 29652642.

It is an arithmetic number, because the mean of its divisors is an integer number (382534880).

Almost surely, 2^33121377828 is an apocalyptic number.

33121377828 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 33121377828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55085022720).

33121377828 is an abundant number, since it is smaller than the sum of its proper divisors (77048667612).

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

33121377828 is a wasteful number, since it uses less digits than its factorization.

33121377828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1722 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 33121377828 in words is "thirty-three billion, one hundred twenty-one million, three hundred seventy-seven thousand, eight hundred twenty-eight".