28350142319160 has 1024 divisors, whose sum is σ = 103444439040000. Its totient is φ = 6881695801344.

The previous prime is 28350142319131. The next prime is 28350142319171. The reversal of 28350142319160 is 6191324105382.

28350142319160 is a `hidden beast` number, since 2 + 8 + 3 + 50 + 1 + 423 + 19 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25937915574 + ... + 25937916666.

It is an arithmetic number, because the mean of its divisors is an integer number (101019960000).

Almost surely, 2^{28350142319160} is an apocalyptic number.

28350142319160 is a gapful number since it is divisible by the number (20) 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 28350142319160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51722219520000).

28350142319160 is an abundant number, since it is smaller than the sum of its proper divisors (75094296720840).

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

28350142319160 is a wasteful number, since it uses less digits than its factorization.

28350142319160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 28350142319160 in words is "twenty-eight trillion, three hundred fifty billion, one hundred forty-two million, three hundred nineteen thousand, one hundred sixty".