28458428544 has 960 divisors, whose sum is σ = 110307859200. Its totient is φ = 7211151360.

The previous prime is 28458428521. The next prime is 28458428549. The reversal of 28458428544 is 44582485482.

28458428544 is a `hidden beast` number, since 2 + 8 + 4 + 58 + 42 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28458428549) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 204736827 + ... + 204736965.

It is an arithmetic number, because the mean of its divisors is an integer number (114904020).

Almost surely, 2^28458428544 is an apocalyptic number.

28458428544 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 28458428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55153929600).

28458428544 is an abundant number, since it is smaller than the sum of its proper divisors (81849430656).

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

28458428544 is a wasteful number, since it uses less digits than its factorization.

28458428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 195 counting only the distinct ones).

The product of its digits is 13107200, while the sum is 54.

The spelling of 28458428544 in words is "twenty-eight billion, four hundred fifty-eight million, four hundred twenty-eight thousand, five hundred forty-four".