28858152960 has 1536 divisors, whose sum is σ = 133849497600. Its totient is φ = 5733089280.

The previous prime is 28858152943. The next prime is 28858153003. The reversal of 28858152960 is 6925185882.

It is a happy number.

28858152960 is a `hidden beast` number, since 2 + 8 + 8 + 58 + 1 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 28858152897 and 28858152906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779950062 + ... + 779950098.

It is an arithmetic number, because the mean of its divisors is an integer number (87141600).

Almost surely, 2^28858152960 is an apocalyptic number.

28858152960 is a gapful number since it is divisible by the number (20) 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 28858152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66924748800).

28858152960 is an abundant number, since it is smaller than the sum of its proper divisors (104991344640).

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

28858152960 is a wasteful number, since it uses less digits than its factorization.

28858152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 28858152960 in words is "twenty-eight billion, eight hundred fifty-eight million, one hundred fifty-two thousand, nine hundred sixty".