1428640056 has 96 divisors (see below), whose sum is σ = 3927181440. Its totient is φ = 469131264.

The previous prime is 1428640049. The next prime is 1428640063. The reversal of 1428640056 is 6500468241.

1428640056 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 640 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1428640049) and next prime (1428640063).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1428640056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353305 + ... + 2353911.

It is an arithmetic number, because the mean of its divisors is an integer number (40908140).

Almost surely, 2^1428640056 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 1428640056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963590720).

1428640056 is an abundant number, since it is smaller than the sum of its proper divisors (2498541384).

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

1428640056 is a wasteful number, since it uses less digits than its factorization.

1428640056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1428640056 is about 37797.3551455654. The cubic root of 1428640056 is about 1126.2659148372.

The spelling of 1428640056 in words is "one billion, four hundred twenty-eight million, six hundred forty thousand, fifty-six".