28142960102640 has 240 divisors, whose sum is σ = 96840870287616. Its totient is φ = 7320065126400.

The previous prime is 28142960102617. The next prime is 28142960102651. The reversal of 28142960102640 is 4620106924182.

It is a happy number.

28142960102640 is a `hidden beast` number, since 2 + 8 + 1 + 429 + 60 + 102 + 64 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131168250 + ... + 131382630.

Almost surely, 2^{28142960102640} is an apocalyptic number.

28142960102640 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 28142960102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48420435143808).

28142960102640 is an abundant number, since it is smaller than the sum of its proper divisors (68697910184976).

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

28142960102640 is a wasteful number, since it uses less digits than its factorization.

28142960102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218888 (or 218879 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28142960102640 in words is "twenty-eight trillion, one hundred forty-two billion, nine hundred sixty million, one hundred two thousand, six hundred forty".