1428684160 has 64 divisors (see below), whose sum is σ = 3448766880. Its totient is φ = 565899264.

The previous prime is 1428684149. The next prime is 1428684163. The reversal of 1428684160 is 614868241.

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

It is a super-2 number, since 2×1428684160² = 4082276858069811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428684163) 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, 55084 + ... + 76756.

Almost surely, 2^1428684160 is an apocalyptic number.

1428684160 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 1428684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724383440).

1428684160 is an abundant number, since it is smaller than the sum of its proper divisors (2020082720).

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

1428684160 is a wasteful number, since it uses less digits than its factorization.

1428684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21795 (or 21783 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 1428684160 is about 37797.9385681283. The cubic root of 1428684160 is about 1126.2775044886.

The spelling of 1428684160 in words is "one billion, four hundred twenty-eight million, six hundred eighty-four thousand, one hundred sixty".