33429000528 has 120 divisors (see below), whose sum is σ = 116639754816. Its totient is φ = 8682854400.

The previous prime is 33429000499. The next prime is 33429000529. The reversal of 33429000528 is 82500092433.

33429000528 is a `hidden beast` number, since 3 + 3 + 42 + 90 + 0 + 0 + 528 = 666.

It is a super-2 number, since 2×33429000528² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33429000492 and 33429000501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33429000529) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1496353 + ... + 1518528.

Almost surely, 2^33429000528 is an apocalyptic number.

It is an amenable number.

33429000528 is an abundant number, since it is smaller than the sum of its proper divisors (83210754288).

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

33429000528 is a wasteful number, since it uses less digits than its factorization.

33429000528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014913 (or 3014904 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 33429000528 in words is "thirty-three billion, four hundred twenty-nine million, five hundred twenty-eight", and thus it is an aban number.