264028820 has 48 divisors (see below), whose sum is σ = 606590208. Its totient is φ = 95736960.

The previous prime is 264028811. The next prime is 264028873. The reversal of 264028820 is 28820462.

It is a happy number.

It is a super-2 number, since 2×264028820² = 139422435581184800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85829 + ... + 88851.

It is an arithmetic number, because the mean of its divisors is an integer number (12637296).

Almost surely, 2^264028820 is an apocalyptic number.

264028820 is a gapful number since it is divisible by the number (20) 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 264028820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303295104).

264028820 is an abundant number, since it is smaller than the sum of its proper divisors (342561388).

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

264028820 is a wasteful number, since it uses less digits than its factorization.

264028820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 264028820 is about 16248.9636592615. The cubic root of 264028820 is about 641.5302088718.

The spelling of 264028820 in words is "two hundred sixty-four million, twenty-eight thousand, eight hundred twenty".