28463038464 has 384 divisors, whose sum is σ = 93237955200. Its totient is φ = 7679508480.

The previous prime is 28463038463. The next prime is 28463038531. The reversal of 28463038464 is 46483036482.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28463038463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91520869 + ... + 91521179.

It is an arithmetic number, because the mean of its divisors is an integer number (242807175).

Almost surely, 2^28463038464 is an apocalyptic number.

28463038464 is a gapful number since it is divisible by the number (24) 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 28463038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46618977600).

28463038464 is an abundant number, since it is smaller than the sum of its proper divisors (64774916736).

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

28463038464 is an equidigital number, since it uses as much as digits as its factorization.

28463038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 28463038464 in words is "twenty-eight billion, four hundred sixty-three million, thirty-eight thousand, four hundred sixty-four".