28527990048 has 288 divisors, whose sum is σ = 86330724480. Its totient is φ = 9264015360.

The previous prime is 28527989989. The next prime is 28527990077. The reversal of 28527990048 is 84009972582.

28527990048 is a `hidden beast` number, since 28 + 527 + 9 + 90 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 28527989976 and 28527990003.

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, 64983813 + ... + 64984251.

It is an arithmetic number, because the mean of its divisors is an integer number (299759460).

Almost surely, 2^28527990048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28527990048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43165362240).

28527990048 is an abundant number, since it is smaller than the sum of its proper divisors (57802734432).

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

28527990048 is a wasteful number, since it uses less digits than its factorization.

28527990048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28527990048 in words is "twenty-eight billion, five hundred twenty-seven million, nine hundred ninety thousand, forty-eight".