28727870915040 has 384 divisors, whose sum is σ = 101094488377344. Its totient is φ = 6797032704000.

The previous prime is 28727870915027. The next prime is 28727870915041. The reversal of 28727870915040 is 4051907872782.

It is a super-2 number, since 2×28727870915040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28727870915041) by changing a digit.

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, 293059635 + ... + 293157645.

It is an arithmetic number, because the mean of its divisors is an integer number (263266896816).

Almost surely, 2^{28727870915040} is an apocalyptic number.

28727870915040 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 28727870915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50547244188672).

28727870915040 is an abundant number, since it is smaller than the sum of its proper divisors (72366617462304).

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

28727870915040 is a wasteful number, since it uses less digits than its factorization.

28727870915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99374 (or 99366 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 28727870915040 in words is "twenty-eight trillion, seven hundred twenty-seven billion, eight hundred seventy million, nine hundred fifteen thousand, forty".