28950691599648 has 768 divisors, whose sum is σ = 108051045580800. Its totient is φ = 7335801262080.

The previous prime is 28950691599637. The next prime is 28950691599653. The reversal of 28950691599648 is 84699519605982.

28950691599648 is a `hidden beast` number, since 2 + 8 + 9 + 506 + 9 + 15 + 9 + 96 + 4 + 8 = 666.

It is a super-2 number, since 2×28950691599648² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 338748090 + ... + 338833542.

It is an arithmetic number, because the mean of its divisors is an integer number (140691465600).

Almost surely, 2^{28950691599648} is an apocalyptic number.

28950691599648 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 28950691599648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025522790400).

28950691599648 is an abundant number, since it is smaller than the sum of its proper divisors (79100353981152).

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

28950691599648 is a wasteful number, since it uses less digits than its factorization.

28950691599648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85662 (or 85648 counting only the distinct ones).

The product of its (nonzero) digits is 3023308800, while the sum is 81.

The spelling of 28950691599648 in words is "twenty-eight trillion, nine hundred fifty billion, six hundred ninety-one million, five hundred ninety-nine thousand, six hundred forty-eight".