28730968842240 has 2688 divisors, whose sum is σ = 126625086701568. Its totient is φ = 6100006993920.

The previous prime is 28730968842221. The next prime is 28730968842259. The reversal of 28730968842240 is 4224886903782.

28730968842240 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 0 + 96 + 88 + 422 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (28730968842221) and next prime (28730968842259).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×28730968842240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150423920545 + ... + 150423920735.

It is an arithmetic number, because the mean of its divisors is an integer number (47107547136).

Almost surely, 2^{28730968842240} is an apocalyptic number.

28730968842240 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 28730968842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63312543350784).

28730968842240 is an abundant number, since it is smaller than the sum of its proper divisors (97894117859328).

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

28730968842240 is a wasteful number, since it uses less digits than its factorization.

28730968842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 28730968842240 in words is "twenty-eight trillion, seven hundred thirty billion, nine hundred sixty-eight million, eight hundred forty-two thousand, two hundred forty".