1264224728 has 64 divisors (see below), whose sum is σ = 2592744000. Its totient is φ = 574428672.

The previous prime is 1264224707. The next prime is 1264224743. The reversal of 1264224728 is 8274224621.

It is a junction number, because it is equal to n+sod(n) for n = 1264224691 and 1264224700.

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, 2595701 + ... + 2596187.

It is an arithmetic number, because the mean of its divisors is an integer number (40511625).

Almost surely, 2^1264224728 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 1264224728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296372000).

1264224728 is an abundant number, since it is smaller than the sum of its proper divisors (1328519272).

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

1264224728 is a wasteful number, since it uses less digits than its factorization.

1264224728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

The square root of 1264224728 is about 35555.9380132208. The cubic root of 1264224728 is about 1081.2881087040.

The spelling of 1264224728 in words is "one billion, two hundred sixty-four million, two hundred twenty-four thousand, seven hundred twenty-eight".