28241690480640 has 3328 divisors, whose sum is σ = 128907520358400. Its totient is φ = 5813352529920.

The previous prime is 28241690480573. The next prime is 28241690480651. The reversal of 28241690480640 is 4608409614282.

It is a happy number.

28241690480640 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 16 + 90 + 480 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 688821719020 + ... + 688821719060.

Almost surely, 2^{28241690480640} is an apocalyptic number.

28241690480640 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 28241690480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64453760179200).

28241690480640 is an abundant number, since it is smaller than the sum of its proper divisors (100665829877760).

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

28241690480640 is an frugal number, since it uses more digits than its factorization.

28241690480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 28241690480640 in words is "twenty-eight trillion, two hundred forty-one billion, six hundred ninety million, four hundred eighty thousand, six hundred forty".