33728619225 has 288 divisors, whose sum is σ = 71570276352. Its totient is φ = 13708800000.

The previous prime is 33728619203. The next prime is 33728619229. The reversal of 33728619225 is 52291682733.

It is not a de Polignac number, because 33728619225 - 2⁷ = 33728619097 is a prime.

It is a super-2 number, since 2×33728619225² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33728619229) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 333946675 + ... + 333946775.

It is an arithmetic number, because the mean of its divisors is an integer number (248507904).

Almost surely, 2^33728619225 is an apocalyptic number.

33728619225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33728619225 is an abundant number, since it is smaller than the sum of its proper divisors (37841657127).

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

33728619225 is a wasteful number, since it uses less digits than its factorization.

33728619225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 33728619225 in words is "thirty-three billion, seven hundred twenty-eight million, six hundred nineteen thousand, two hundred twenty-five".