1428561680 has 360 divisors, whose sum is σ = 4465604808. Its totient is φ = 421134336.

The previous prime is 1428561679. The next prime is 1428561691. The reversal of 1428561680 is 861658241.

It can be written as a sum of positive squares in 12 ways, for example, as 205520896 + 1223040784 = 14336^2 + 34972^2 .

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 71 ways as a sum of consecutive naturals, for example, 14727392 + ... + 14727488.

Almost surely, 2^1428561680 is an apocalyptic number.

1428561680 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 1428561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232802404).

1428561680 is an abundant number, since it is smaller than the sum of its proper divisors (3037043128).

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

1428561680 is a wasteful number, since it uses less digits than its factorization.

1428561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 1428561680 is about 37796.3183392245. The cubic root of 1428561680 is about 1126.2453185993.

It can be divided in two parts, 1428561 and 680, that added together give a palindrome (1429241).

The spelling of 1428561680 in words is "one billion, four hundred twenty-eight million, five hundred sixty-one thousand, six hundred eighty".