1428712560 has 320 divisors, whose sum is σ = 5416796160. Its totient is φ = 343249920.

The previous prime is 1428712547. The next prime is 1428712577. The reversal of 1428712560 is 652178241.

1428712560 is a `hidden beast` number, since 1 + 4 + 2 + 87 + 12 + 560 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 3730129 + ... + 3730511.

It is an arithmetic number, because the mean of its divisors is an integer number (16927488).

Almost surely, 2^1428712560 is an apocalyptic number.

1428712560 is a gapful number since it is divisible by the number (10) 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 1428712560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708398080).

1428712560 is an abundant number, since it is smaller than the sum of its proper divisors (3988083600).

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

1428712560 is a wasteful number, since it uses less digits than its factorization.

1428712560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1428712560 is about 37798.3142481249. The cubic root of 1428712560 is about 1126.2849673159.

It can be divided in two parts, 14287125 and 60, that added together give a triangular number (14287185 = T₅₃₄₅).

The spelling of 1428712560 in words is "one billion, four hundred twenty-eight million, seven hundred twelve thousand, five hundred sixty".