27628458810021 has 32 divisors (see below), whose sum is σ = 43339707607680. Its totient is φ = 17335124091648.

The previous prime is 27628458809981. The next prime is 27628458810079. The reversal of 27628458810021 is 12001885482672.

27628458810021 is a `hidden beast` number, since 2 + 7 + 6 + 28 + 4 + 588 + 10 + 0 + 21 = 666.

It is not a de Polignac number, because 27628458810021 - 2⁶ = 27628458809957 is a prime.

It is a super-2 number, since 2×27628458810021² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27628458810021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27628458810721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21115515 + ... + 22385751.

It is an arithmetic number, because the mean of its divisors is an integer number (1354365862740).

Almost surely, 2^{27628458810021} is an apocalyptic number.

It is an amenable number.

27628458810021 is a deficient number, since it is larger than the sum of its proper divisors (15711248797659).

27628458810021 is a wasteful number, since it uses less digits than its factorization.

27628458810021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317650 (or 1317644 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 27628458810021 in words is "twenty-seven trillion, six hundred twenty-eight billion, four hundred fifty-eight million, eight hundred ten thousand, twenty-one".