27398628972 has 384 divisors, whose sum is σ = 85861171200. Its totient is φ = 7446297600.

The previous prime is 27398628967. The next prime is 27398628973. The reversal of 27398628972 is 27982689372.

27398628972 is a `hidden beast` number, since 273 + 9 + 86 + 289 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (27398628973) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 119644554 + ... + 119644782.

It is an arithmetic number, because the mean of its divisors is an integer number (223596800).

Almost surely, 2^27398628972 is an apocalyptic number.

27398628972 is a gapful number since it is divisible by the number (22) 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 27398628972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42930585600).

27398628972 is an abundant number, since it is smaller than the sum of its proper divisors (58462542228).

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

27398628972 is a wasteful number, since it uses less digits than its factorization.

27398628972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 27398628972 in words is "twenty-seven billion, three hundred ninety-eight million, six hundred twenty-eight thousand, nine hundred seventy-two".