33225637728 has 96 divisors (see below), whose sum is σ = 89635133952. Its totient is φ = 10769945600.

The previous prime is 33225637727. The next prime is 33225637729. The reversal of 33225637728 is 82773652233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33225637727) and next prime (33225637729).

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

It is a super-2 number, since 2×33225637728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33225637727) 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, 1210525 + ... + 1237667.

It is an arithmetic number, because the mean of its divisors is an integer number (933699312).

Almost surely, 2^33225637728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33225637728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44817566976).

33225637728 is an abundant number, since it is smaller than the sum of its proper divisors (56409496224).

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

33225637728 is a wasteful number, since it uses less digits than its factorization.

33225637728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27508 (or 27500 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The spelling of 33225637728 in words is "thirty-three billion, two hundred twenty-five million, six hundred thirty-seven thousand, seven hundred twenty-eight".