28350645261120 has 1792 divisors, whose sum is σ = 134832186316800. Its totient is φ = 5435605647360.

The previous prime is 28350645261097. The next prime is 28350645261217. The reversal of 28350645261120 is 2116254605382.

28350645261120 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 0 + 6 + 4 + 5 + 2 + 611 + 20 = 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, 387579750 + ... + 387652890.

It is an arithmetic number, because the mean of its divisors is an integer number (75241175400).

Almost surely, 2^{28350645261120} is an apocalyptic number.

28350645261120 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 28350645261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67416093158400).

28350645261120 is an abundant number, since it is smaller than the sum of its proper divisors (106481541055680).

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

28350645261120 is a wasteful number, since it uses less digits than its factorization.

28350645261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73233 (or 73217 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 28350645261120 in words is "twenty-eight trillion, three hundred fifty billion, six hundred forty-five million, two hundred sixty-one thousand, one hundred twenty".