28114421731200 has 3456 divisors, whose sum is σ = 128280424839840. Its totient is φ = 5821562880000.

The previous prime is 28114421731199. The next prime is 28114421731259. The reversal of 28114421731200 is 213712441182.

28114421731200 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 442 + 1 + 7 + 3 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 99344246259 + ... + 99344246541.

Almost surely, 2^{28114421731200} is an apocalyptic number.

28114421731200 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 28114421731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64140212419920).

28114421731200 is an abundant number, since it is smaller than the sum of its proper divisors (100166003108640).

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

28114421731200 is a wasteful number, since it uses less digits than its factorization.

28114421731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 28114421731200 in words is "twenty-eight trillion, one hundred fourteen billion, four hundred twenty-one million, seven hundred thirty-one thousand, two hundred".