28464550128 has 240 divisors, whose sum is σ = 95172480000. Its totient is φ = 7764996096.

The previous prime is 28464550087. The next prime is 28464550133. The reversal of 28464550128 is 82105546482.

28464550128 is a `hidden beast` number, since 2 + 84 + 6 + 4 + 550 + 12 + 8 = 666.

It is a super-2 number, since 2×28464550128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22789248 + ... + 22790496.

It is an arithmetic number, because the mean of its divisors is an integer number (396552000).

Almost surely, 2^28464550128 is an apocalyptic number.

28464550128 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 28464550128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47586240000).

28464550128 is an abundant number, since it is smaller than the sum of its proper divisors (66707929872).

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

28464550128 is a wasteful number, since it uses less digits than its factorization.

28464550128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 28464550128 in words is "twenty-eight billion, four hundred sixty-four million, five hundred fifty thousand, one hundred twenty-eight".