33146928 has 60 divisors (see below), whose sum is σ = 95488680. Its totient is φ = 11009088.

The previous prime is 33146909. The next prime is 33146929. The reversal of 33146928 is 82964133.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33146892 and 33146901.

It is not an unprimeable number, because it can be changed into a prime (33146929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119526 + ... + 119802.

It is an arithmetic number, because the mean of its divisors is an integer number (1591478).

Almost surely, 2^33146928 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 33146928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744340).

33146928 is an abundant number, since it is smaller than the sum of its proper divisors (62341752).

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

33146928 is an equidigital number, since it uses as much as digits as its factorization.

33146928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 282 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 33146928 is about 5757.3368843589. The cubic root of 33146928 is about 321.2287652192.

The spelling of 33146928 in words is "thirty-three million, one hundred forty-six thousand, nine hundred twenty-eight".