33428914272 has 96 divisors (see below), whose sum is σ = 105001112160. Its totient is φ = 10285816320.

The previous prime is 33428914271. The next prime is 33428914301. The reversal of 33428914272 is 27241982433.

33428914272 is a `hidden beast` number, since 33 + 428 + 91 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33428914272² (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 (33428914271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1476879 + ... + 1499342.

It is an arithmetic number, because the mean of its divisors is an integer number (1093761585).

Almost surely, 2^33428914272 is an apocalyptic number.

33428914272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33428914272 is an abundant number, since it is smaller than the sum of its proper divisors (71572197888).

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

33428914272 is a wasteful number, since it uses less digits than its factorization.

33428914272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976253 (or 2976239 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 33428914272 in words is "thirty-three billion, four hundred twenty-eight million, nine hundred fourteen thousand, two hundred seventy-two".