28426590528 has 224 divisors, whose sum is σ = 91368603648. Its totient is φ = 7614259200.

The previous prime is 28426590509. The next prime is 28426590539. The reversal of 28426590528 is 82509562482.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189513 + ... + 6194103.

It is an arithmetic number, because the mean of its divisors is an integer number (407895552).

Almost surely, 2^28426590528 is an apocalyptic number.

28426590528 is a gapful number since it is divisible by the number (28) 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 28426590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45684301824).

28426590528 is an abundant number, since it is smaller than the sum of its proper divisors (62942013120).

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

28426590528 is a wasteful number, since it uses less digits than its factorization.

28426590528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 28426590528 in words is "twenty-eight billion, four hundred twenty-six million, five hundred ninety thousand, five hundred twenty-eight".