28435640940 has 288 divisors, whose sum is σ = 102017470464. Its totient is φ = 6273815040.

The previous prime is 28435640929. The next prime is 28435640941. The reversal of 28435640940 is 4904653482.

28435640940 is a `hidden beast` number, since 2 + 8 + 43 + 564 + 0 + 9 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28435640941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21755767 + ... + 21757073.

It is an arithmetic number, because the mean of its divisors is an integer number (354227328).

Almost surely, 2^28435640940 is an apocalyptic number.

28435640940 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 28435640940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51008735232).

28435640940 is an abundant number, since it is smaller than the sum of its proper divisors (73581829524).

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

28435640940 is a wasteful number, since it uses less digits than its factorization.

28435640940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28435640940 in words is "twenty-eight billion, four hundred thirty-five million, six hundred forty thousand, nine hundred forty".