27128628040 has 32 divisors (see below), whose sum is σ = 61301405880. Its totient is φ = 10804874752.

The previous prime is 27128628019. The next prime is 27128628049. The reversal of 27128628040 is 4082682172.

It can be written as a sum of positive squares in 4 ways, for example, as 25582722916 + 1545905124 = 159946^2 + 39318^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27128627984 and 27128628002.

It is not an unprimeable number, because it can be changed into a prime (27128628049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1446079 + ... + 1464718.

Almost surely, 2^27128628040 is an apocalyptic number.

27128628040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27128628040 is an abundant number, since it is smaller than the sum of its proper divisors (34172777840).

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

27128628040 is a wasteful number, since it uses less digits than its factorization.

27128628040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911041 (or 2911037 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 27128628040 in words is "twenty-seven billion, one hundred twenty-eight million, six hundred twenty-eight thousand, forty".