28108866240 has 1120 divisors, whose sum is σ = 130487220864. Its totient is φ = 5573836800.

The previous prime is 28108866211. The next prime is 28108866271. The reversal of 28108866240 is 4266880182.

28108866240 is a `hidden beast` number, since 2 + 8 + 10 + 8 + 8 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×28108866240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40097890 + ... + 40098590.

Almost surely, 2^28108866240 is an apocalyptic number.

28108866240 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 28108866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65243610432).

28108866240 is an abundant number, since it is smaller than the sum of its proper divisors (102378354624).

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

28108866240 is a wasteful number, since it uses less digits than its factorization.

28108866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 28108866240 in words is "twenty-eight billion, one hundred eight million, eight hundred sixty-six thousand, two hundred forty".