28417026240 has 672 divisors, whose sum is σ = 109286161920. Its totient is φ = 6744342528.

The previous prime is 28417026227. The next prime is 28417026251. The reversal of 28417026240 is 4262071482.

28417026240 is a `hidden beast` number, since 28 + 4 + 1 + 7 + 0 + 2 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28417026195 and 28417026204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84323352 + ... + 84323688.

Almost surely, 2^28417026240 is an apocalyptic number.

28417026240 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 28417026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54643080960).

28417026240 is an abundant number, since it is smaller than the sum of its proper divisors (80869135680).

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

28417026240 is a wasteful number, since it uses less digits than its factorization.

28417026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28417026240 in words is "twenty-eight billion, four hundred seventeen million, twenty-six thousand, two hundred forty".