28495805001048 has 512 divisors, whose sum is σ = 99818604288000. Its totient is φ = 7316961361920.

The previous prime is 28495805001031. The next prime is 28495805001067. The reversal of 28495805001048 is 84010050859482.

28495805001048 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 5 + 80 + 500 + 10 + 48 = 666.

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 = 28495805000985 and 28495805001003.

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, 731073336 + ... + 731112312.

It is an arithmetic number, because the mean of its divisors is an integer number (194958211500).

Almost surely, 2^{28495805001048} is an apocalyptic number.

28495805001048 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 28495805001048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49909302144000).

28495805001048 is an abundant number, since it is smaller than the sum of its proper divisors (71322799286952).

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

28495805001048 is a wasteful number, since it uses less digits than its factorization.

28495805001048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39512 (or 39502 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 28495805001048 in words is "twenty-eight trillion, four hundred ninety-five billion, eight hundred five million, one thousand, forty-eight".