28623685440 has 896 divisors, whose sum is σ = 115193917440. Its totient is φ = 5876416512.

The previous prime is 28623685423. The next prime is 28623685457. The reversal of 28623685440 is 4458632682.

It is an interprime number because it is at equal distance from previous prime (28623685423) and next prime (28623685457).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28623685440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344863639 + ... + 344863721.

It is an arithmetic number, because the mean of its divisors is an integer number (128564640).

Almost surely, 2^28623685440 is an apocalyptic number.

28623685440 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 28623685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57596958720).

28623685440 is an abundant number, since it is smaller than the sum of its proper divisors (86570232000).

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

28623685440 is a wasteful number, since it uses less digits than its factorization.

28623685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 28623685440 in words is "twenty-eight billion, six hundred twenty-three million, six hundred eighty-five thousand, four hundred forty".