33828156054 has 192 divisors, whose sum is σ = 97512629760. Its totient is φ = 8209589760.

The previous prime is 33828156023. The next prime is 33828156059. The reversal of 33828156054 is 45065182833.

33828156054 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 81 + 560 + 5 + 4 = 666.

It is a super-2 number, since 2×33828156054² (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 (33828156059) 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, 1913584 + ... + 1931180.

It is an arithmetic number, because the mean of its divisors is an integer number (507878280).

Almost surely, 2^33828156054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33828156054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48756314880).

33828156054 is an abundant number, since it is smaller than the sum of its proper divisors (63684473706).

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

33828156054 is a wasteful number, since it uses less digits than its factorization.

33828156054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17715 (or 17712 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 33828156054 in words is "thirty-three billion, eight hundred twenty-eight million, one hundred fifty-six thousand, fifty-four".