1428945984 has 168 divisors, whose sum is σ = 4232054528. Its totient is φ = 460753920.

The previous prime is 1428945983. The next prime is 1428945989. The reversal of 1428945984 is 4895498241.

It is a happy number.

1428945984 is a `hidden beast` number, since 1 + 42 + 8 + 9 + 4 + 598 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1428945984.

It is not an unprimeable number, because it can be changed into a prime (1428945983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353809 + ... + 2354415.

Almost surely, 2^1428945984 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 1428945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116027264).

1428945984 is an abundant number, since it is smaller than the sum of its proper divisors (2803108544).

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

1428945984 is a wasteful number, since it uses less digits than its factorization.

1428945984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 740 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 1428945984 is about 37801.4018787663. The cubic root of 1428945984 is about 1126.3463017025.

The spelling of 1428945984 in words is "one billion, four hundred twenty-eight million, nine hundred forty-five thousand, nine hundred eighty-four".