1428802144 has 96 divisors (see below), whose sum is σ = 3517178112. Its totient is φ = 555072000.

The previous prime is 1428802129. The next prime is 1428802163. The reversal of 1428802144 is 4412088241.

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 15 ways as a sum of consecutive naturals, for example, 1209234 + ... + 1210414.

It is an arithmetic number, because the mean of its divisors is an integer number (36637272).

Almost surely, 2^1428802144 is an apocalyptic number.

1428802144 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 1428802144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758589056).

1428802144 is an abundant number, since it is smaller than the sum of its proper divisors (2088375968).

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

1428802144 is a wasteful number, since it uses less digits than its factorization.

1428802144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 1428802144 is about 37799.4992559425. The cubic root of 1428802144 is about 1126.3085071579.

The spelling of 1428802144 in words is "one billion, four hundred twenty-eight million, eight hundred two thousand, one hundred forty-four".