28426386240 has 280 divisors, whose sum is σ = 115563773952. Its totient is φ = 6497418240.

The previous prime is 28426386211. The next prime is 28426386301. The reversal of 28426386240 is 4268362482.

28426386240 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 638 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×28426386240² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103105 + ... + 259775.

Almost surely, 2^28426386240 is an apocalyptic number.

28426386240 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 28426386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57781886976).

28426386240 is an abundant number, since it is smaller than the sum of its proper divisors (87137387712).

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

28426386240 is a wasteful number, since it uses less digits than its factorization.

28426386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156707 (or 156688 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 28426386240 in words is "twenty-eight billion, four hundred twenty-six million, three hundred eighty-six thousand, two hundred forty".