1428957264 has 80 divisors (see below), whose sum is σ = 4252172288. Its totient is φ = 405046656.

The previous prime is 1428957259. The next prime is 1428957311. The reversal of 1428957264 is 4627598241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25929 + ... + 59415.

Almost surely, 2^1428957264 is an apocalyptic number.

1428957264 is a gapful number since it is divisible by the number (14) 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 1428957264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126086144).

1428957264 is an abundant number, since it is smaller than the sum of its proper divisors (2823215024).

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

1428957264 is a wasteful number, since it uses less digits than its factorization.

1428957264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33632 (or 33626 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 1428957264 is about 37801.5510792877. The cubic root of 1428957264 is about 1126.3492654611.

The spelling of 1428957264 in words is "one billion, four hundred twenty-eight million, nine hundred fifty-seven thousand, two hundred sixty-four".