27892340100 has 243 divisors, whose sum is σ = 92586582543. Its totient is φ = 7022436480.

The previous prime is 27892339997. The next prime is 27892340171. The reversal of 27892340100 is 104329872.

The square root of 27892340100 is 167010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4417197444 + 23475142656 = 66462^2 + 153216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 95195554 + ... + 95195846.

Almost surely, 2^27892340100 is an apocalyptic number.

27892340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27892340100 is the 167010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27892340100

27892340100 is an abundant number, since it is smaller than the sum of its proper divisors (64694242443).

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

27892340100 is a wasteful number, since it uses less digits than its factorization.

27892340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 27892340100 by its sum of digits (36), we get a square (1004124243600 = 1002060²).

27892340100 divided by its sum of digits (36) gives a square (774787225 = 27835²).

Adding to 27892340100 its reverse (104329872), we get a palindrome (27996669972).

The spelling of 27892340100 in words is "twenty-seven billion, eight hundred ninety-two million, three hundred forty thousand, one hundred".