27628322040 has 288 divisors, whose sum is σ = 102105057600. Its totient is φ = 6466521600.

The previous prime is 27628322023. The next prime is 27628322101. The reversal of 27628322040 is 4022382672.

It is a happy number.

27628322040 is a `hidden beast` number, since 2 + 7 + 628 + 3 + 2 + 20 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27628321986 and 27628322004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1252305 + ... + 1274175.

It is an arithmetic number, because the mean of its divisors is an integer number (354531450).

Almost surely, 2^27628322040 is an apocalyptic number.

27628322040 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 27628322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51052528800).

27628322040 is an abundant number, since it is smaller than the sum of its proper divisors (74476735560).

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

27628322040 is a wasteful number, since it uses less digits than its factorization.

27628322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21939 (or 21921 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 27628322040 in words is "twenty-seven billion, six hundred twenty-eight million, three hundred twenty-two thousand, forty".