1428567680 has 64 divisors (see below), whose sum is σ = 3419788680. Its totient is φ = 570654720.

The previous prime is 1428567677. The next prime is 1428567683. The reversal of 1428567680 is 867658241.

It is an interprime number because it is at equal distance from previous prime (1428567677) and next prime (1428567683).

It can be written as a sum of positive squares in 4 ways, for example, as 1427630656 + 937024 = 37784^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1428567683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829220 + ... + 830940.

Almost surely, 2^1428567680 is an apocalyptic number.

1428567680 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 1428567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709894340).

1428567680 is an abundant number, since it is smaller than the sum of its proper divisors (1991221000).

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

1428567680 is a wasteful number, since it uses less digits than its factorization.

1428567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 1428567680 is about 37796.3977119513. The cubic root of 1428567680 is about 1126.2468953513.

The spelling of 1428567680 in words is "one billion, four hundred twenty-eight million, five hundred sixty-seven thousand, six hundred eighty".