28181161493760 has 576 divisors, whose sum is σ = 102619004302080. Its totient is φ = 6528187760640.

The previous prime is 28181161493689. The next prime is 28181161493783. The reversal of 28181161493760 is 6739416118182.

It is a self number, because there is not a number n which added to its sum of digits gives 28181161493760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118702534 + ... + 118939706.

It is an arithmetic number, because the mean of its divisors is an integer number (178157993580).

Almost surely, 2^{28181161493760} is an apocalyptic number.

28181161493760 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 28181161493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51309502151040).

28181161493760 is an abundant number, since it is smaller than the sum of its proper divisors (74437842808320).

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

28181161493760 is a wasteful number, since it uses less digits than its factorization.

28181161493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237334 (or 237320 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 28181161493760 in words is "twenty-eight trillion, one hundred eighty-one billion, one hundred sixty-one million, four hundred ninety-three thousand, seven hundred sixty".