28261248433677 has 256 divisors, whose sum is σ = 51008250839040. Its totient is φ = 15117330412800.

The previous prime is 28261248433657. The next prime is 28261248433687. The reversal of 28261248433677 is 77633484216282.

28261248433677 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 124 + 8 + 433 + 6 + 77 = 666.

It is not a de Polignac number, because 28261248433677 - 2¹⁰ = 28261248432653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28261248433657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34173214138 + ... + 34173214964.

It is an arithmetic number, because the mean of its divisors is an integer number (199250979840).

Almost surely, 2^{28261248433677} is an apocalyptic number.

28261248433677 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

28261248433677 is a deficient number, since it is larger than the sum of its proper divisors (22747002405363).

28261248433677 is a wasteful number, since it uses less digits than its factorization.

28261248433677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1615 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 28261248433677 in words is "twenty-eight trillion, two hundred sixty-one billion, two hundred forty-eight million, four hundred thirty-three thousand, six hundred seventy-seven".