28023633456 has 320 divisors, whose sum is σ = 92394086400. Its totient is φ = 7119912960.

The previous prime is 28023633439. The next prime is 28023633457. The reversal of 28023633456 is 65433632082.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (28023633457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47257096 + ... + 47257688.

It is an arithmetic number, because the mean of its divisors is an integer number (288731520).

Almost surely, 2^28023633456 is an apocalyptic number.

28023633456 is a gapful number since it is divisible by the number (26) 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 28023633456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46197043200).

28023633456 is an abundant number, since it is smaller than the sum of its proper divisors (64370452944).

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

28023633456 is a wasteful number, since it uses less digits than its factorization.

28023633456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 28023633456 in words is "twenty-eight billion, twenty-three million, six hundred thirty-three thousand, four hundred fifty-six".