28105701120 has 432 divisors, whose sum is σ = 114729818112. Its totient is φ = 6216376320.

The previous prime is 28105701101. The next prime is 28105701131. The reversal of 28105701120 is 2110750182.

28105701120 is a `hidden beast` number, since 2 + 81 + 0 + 570 + 1 + 12 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2494219 + ... + 2505461.

Almost surely, 2^28105701120 is an apocalyptic number.

28105701120 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 28105701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57364909056).

28105701120 is an abundant number, since it is smaller than the sum of its proper divisors (86624116992).

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

28105701120 is a wasteful number, since it uses less digits than its factorization.

28105701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 28105701120 in words is "twenty-eight billion, one hundred five million, seven hundred one thousand, one hundred twenty".