142828560 has 240 divisors, whose sum is σ = 580784256. Its totient is φ = 30707712.

The previous prime is 142828559. The next prime is 142828561. The reversal of 142828560 is 65828241.

142828560 is a `hidden beast` number, since 14 + 2 + 82 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (142828559) and next prime (142828561).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (142828561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84847 + ... + 86513.

Almost surely, 2^142828560 is an apocalyptic number.

142828560 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 142828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290392128).

142828560 is an abundant number, since it is smaller than the sum of its proper divisors (437955696).

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

142828560 is a wasteful number, since it uses less digits than its factorization.

142828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 142828560 is about 11951.0903268279. The cubic root of 142828560 is about 522.7230917784.

The spelling of 142828560 in words is "one hundred forty-two million, eight hundred twenty-eight thousand, five hundred sixty".