28005930777600 has 396 divisors, whose sum is σ = 106172995279104. Its totient is φ = 7028938506240.

The previous prime is 28005930777569. The next prime is 28005930777611. The reversal of 28005930777600 is 677703950082.

28005930777600 is a `hidden beast` number, since 28 + 0 + 0 + 5 + 9 + 3 + 0 + 7 + 7 + 7 + 600 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 341697 + ... + 7491903.

Almost surely, 2^{28005930777600} is an apocalyptic number.

28005930777600 is a gapful number since it is divisible by the number (20) 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 28005930777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53086497639552).

28005930777600 is an abundant number, since it is smaller than the sum of its proper divisors (78167064501504).

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

28005930777600 is a wasteful number, since it uses less digits than its factorization.

28005930777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150260 (or 7150234 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 28005930777600 in words is "twenty-eight trillion, five billion, nine hundred thirty million, seven hundred seventy-seven thousand, six hundred".