1428585984 has 600 divisors, whose sum is σ = 5362279560. Its totient is φ = 376233984.

The previous prime is 1428585979. The next prime is 1428586013. The reversal of 1428585984 is 4895858241.

1428585984 is a `hidden beast` number, since 1 + 42 + 8 + 5 + 8 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3686400) is a multiple of the sum of its prime factors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 1428585984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38610414 + ... + 38610450.

Almost surely, 2^1428585984 is an apocalyptic number.

1428585984 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 1428585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681139780).

1428585984 is an abundant number, since it is smaller than the sum of its proper divisors (3933693576).

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

1428585984 is an equidigital number, since it uses as much as digits as its factorization.

1428585984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 1428585984 is about 37796.6398506534. The cubic root of 1428585984 is about 1126.2517054688.

The spelling of 1428585984 in words is "one billion, four hundred twenty-eight million, five hundred eighty-five thousand, nine hundred eighty-four".