28461919968 has 120 divisors (see below), whose sum is σ = 83767439448. Its totient is φ = 9480312576.

The previous prime is 28461919951. The next prime is 28461919987. The reversal of 28461919968 is 86991916482.

28461919968 is a `hidden beast` number, since 2 + 8 + 4 + 619 + 1 + 9 + 9 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4462830 + ... + 4469202.

Almost surely, 2^28461919968 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 28461919968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41883719724).

28461919968 is an abundant number, since it is smaller than the sum of its proper divisors (55305519480).

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

28461919968 is a wasteful number, since it uses less digits than its factorization.

28461919968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8101 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 28461919968 in words is "twenty-eight billion, four hundred sixty-one million, nine hundred nineteen thousand, nine hundred sixty-eight".