28104671520 has 384 divisors, whose sum is σ = 104348321280. Its totient is φ = 7049687040.

The previous prime is 28104671501. The next prime is 28104671521. The reversal of 28104671520 is 2517640182.

28104671520 is a `hidden beast` number, since 28 + 1 + 0 + 46 + 71 + 520 = 666.

It is a super-2 number, since 2×28104671520² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28104671521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6058642 + ... + 6063278.

It is an arithmetic number, because the mean of its divisors is an integer number (271740420).

Almost surely, 2^28104671520 is an apocalyptic number.

28104671520 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 28104671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52174160640).

28104671520 is an abundant number, since it is smaller than the sum of its proper divisors (76243649760).

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

28104671520 is a wasteful number, since it uses less digits than its factorization.

28104671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 28104671520 in words is "twenty-eight billion, one hundred four million, six hundred seventy-one thousand, five hundred twenty".