28074110463360 has 768 divisors, whose sum is σ = 109377448427520. Its totient is φ = 6587777433600.

The previous prime is 28074110463307. The next prime is 28074110463383. The reversal of 28074110463360 is 6336401147082.

28074110463360 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 4 + 1 + 1 + 0 + 4 + 633 + 6 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155435505 + ... + 155616015.

It is an arithmetic number, because the mean of its divisors is an integer number (142418552640).

Almost surely, 2^{28074110463360} is an apocalyptic number.

28074110463360 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 28074110463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54688724213760).

28074110463360 is an abundant number, since it is smaller than the sum of its proper divisors (81303337964160).

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

28074110463360 is a wasteful number, since it uses less digits than its factorization.

28074110463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180647 (or 180632 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 28074110463360 in words is "twenty-eight trillion, seventy-four billion, one hundred ten million, four hundred sixty-three thousand, three hundred sixty".