28311690240 has 440 divisors, whose sum is σ = 106822449360. Its totient is φ = 7150436352.

The previous prime is 28311690181. The next prime is 28311690257. The reversal of 28311690240 is 4209611382.

It is a super-2 number, since 2×28311690240² (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 a junction number, because it is equal to n+sod(n) for n = 28311690195 and 28311690204.

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, 7877884 + ... + 7881476.

It is an arithmetic number, because the mean of its divisors is an integer number (242778294).

Almost surely, 2^28311690240 is an apocalyptic number.

28311690240 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 28311690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53411224680).

28311690240 is an abundant number, since it is smaller than the sum of its proper divisors (78510759120).

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

28311690240 is a wasteful number, since it uses less digits than its factorization.

28311690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 28311690240 in words is "twenty-eight billion, three hundred eleven million, six hundred ninety thousand, two hundred forty".