28023362640 has 1440 divisors, whose sum is σ = 127937811456. Its totient is φ = 5643509760.

The previous prime is 28023362629. The next prime is 28023362641. The reversal of 28023362640 is 4626332082.

28023362640 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 3 + 3 + 6 + 2 + 640 = 666.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 28023362595 and 28023362604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28023362641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 383881644 + ... + 383881716.

Almost surely, 2^28023362640 is an apocalyptic number.

28023362640 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 28023362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63968905728).

28023362640 is an abundant number, since it is smaller than the sum of its proper divisors (99914448816).

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

28023362640 is a wasteful number, since it uses less digits than its factorization.

28023362640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 28023362640 in words is "twenty-eight billion, twenty-three million, three hundred sixty-two thousand, six hundred forty".