264068028 has 72 divisors (see below), whose sum is σ = 773660160. Its totient is φ = 74380320.

The previous prime is 264068027. The next prime is 264068029. The reversal of 264068028 is 820860462.

264068028 is a `hidden beast` number, since 2 + 640 + 6 + 8 + 0 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (264068027) and next prime (264068029).

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

It is a junction number, because it is equal to n+sod(n) for n = 264067983 and 264068001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264068027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10513 + ... + 25271.

It is an arithmetic number, because the mean of its divisors is an integer number (10745280).

Almost surely, 2^264068028 is an apocalyptic number.

264068028 is a gapful number since it is divisible by the number (28) 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 264068028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386830080).

264068028 is an abundant number, since it is smaller than the sum of its proper divisors (509592132).

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

264068028 is a wasteful number, since it uses less digits than its factorization.

264068028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14847 (or 14842 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 264068028 is about 16250.1700914175. The cubic root of 264068028 is about 641.5619628188.

The spelling of 264068028 in words is "two hundred sixty-four million, sixty-eight thousand, twenty-eight".