28419083136 has 384 divisors, whose sum is σ = 88249543200. Its totient is φ = 8760213504.

The previous prime is 28419083113. The next prime is 28419083177. The reversal of 28419083136 is 63138091482.

28419083136 is a `hidden beast` number, since 28 + 419 + 0 + 83 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 28419083091 and 28419083100.

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 47 ways as a sum of consecutive naturals, for example, 102595830 + ... + 102596106.

Almost surely, 2^28419083136 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 28419083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44124771600).

28419083136 is an abundant number, since it is smaller than the sum of its proper divisors (59830460064).

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

28419083136 is a wasteful number, since it uses less digits than its factorization.

28419083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28419083136 in words is "twenty-eight billion, four hundred nineteen million, eighty-three thousand, one hundred thirty-six".