264182028 has 48 divisors (see below), whose sum is σ = 680593536. Its totient is φ = 79087360.

The previous prime is 264182021. The next prime is 264182047. The reversal of 264182028 is 820281462.

It is a happy number.

264182028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 264182028.

It is not an unprimeable number, because it can be changed into a prime (264182021) 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, 1101 + ... + 23012.

It is an arithmetic number, because the mean of its divisors is an integer number (14179032).

Almost surely, 2^264182028 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 264182028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340296768).

264182028 is an abundant number, since it is smaller than the sum of its proper divisors (416411508).

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

264182028 is a wasteful number, since it uses less digits than its factorization.

264182028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24214 (or 24212 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 264182028 is about 16253.6773685219. The cubic root of 264182028 is about 641.6542717870.

The spelling of 264182028 in words is "two hundred sixty-four million, one hundred eighty-two thousand, twenty-eight".