1428971456 has 112 divisors (see below), whose sum is σ = 3326952960. Its totient is φ = 601989120.

The previous prime is 1428971447. The next prime is 1428971461. The reversal of 1428971456 is 6541798241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 1428971456.

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, 627536 + ... + 629808.

Almost surely, 2^1428971456 is an apocalyptic number.

1428971456 is a gapful number since it is divisible by the number (16) 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 1428971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663476480).

1428971456 is an abundant number, since it is smaller than the sum of its proper divisors (1897981504).

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

1428971456 is a wasteful number, since it uses less digits than its factorization.

1428971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2352 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 1428971456 is about 37801.7387959866. The cubic root of 1428971456 is about 1126.3529943097.

The spelling of 1428971456 in words is "one billion, four hundred twenty-eight million, nine hundred seventy-one thousand, four hundred fifty-six".