27828035928 has 288 divisors, whose sum is σ = 96025063680. Its totient is φ = 7125148800.

The previous prime is 27828035899. The next prime is 27828035933. The reversal of 27828035928 is 82953082872.

It is a happy number.

27828035928 is a `hidden beast` number, since 2 + 7 + 8 + 280 + 359 + 2 + 8 = 666.

It is a super-2 number, since 2×27828035928² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 4326651 + ... + 4333077.

It is an arithmetic number, because the mean of its divisors is an integer number (333420360).

Almost surely, 2^27828035928 is an apocalyptic number.

27828035928 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 27828035928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48012531840).

27828035928 is an abundant number, since it is smaller than the sum of its proper divisors (68197027752).

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

27828035928 is a wasteful number, since it uses less digits than its factorization.

27828035928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 27828035928 in words is "twenty-seven billion, eight hundred twenty-eight million, thirty-five thousand, nine hundred twenty-eight".