33228573649920 has 1584 divisors, whose sum is σ = 134948190843648. Its totient is φ = 7774944952320.

The previous prime is 33228573649903. The next prime is 33228573649937. The reversal of 33228573649920 is 2994637582233.

It is a happy number.

33228573649920 is a `hidden beast` number, since 3 + 32 + 2 + 8 + 573 + 6 + 4 + 9 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (33228573649903) and next prime (33228573649937).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×33228573649920² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11509722717 + ... + 11509725603.

Almost surely, 2^{33228573649920} is an apocalyptic number.

33228573649920 is a gapful number since it is divisible by the number (30) 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 33228573649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67474095421824).

33228573649920 is an abundant number, since it is smaller than the sum of its proper divisors (101719617193728).

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

33228573649920 is a wasteful number, since it uses less digits than its factorization.

33228573649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 33228573649920 in words is "thirty-three trillion, two hundred twenty-eight billion, five hundred seventy-three million, six hundred forty-nine thousand, nine hundred twenty".