27398928480 has 768 divisors, whose sum is σ = 113539055616. Its totient is φ = 5385093120.

The previous prime is 27398928463. The next prime is 27398928499. The reversal of 27398928480 is 8482989372.

It is a super-2 number, since 2×27398928480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141963264 + ... + 141963456.

It is an arithmetic number, because the mean of its divisors is an integer number (147837312).

Almost surely, 2^27398928480 is an apocalyptic number.

27398928480 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 27398928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56769527808).

27398928480 is an abundant number, since it is smaller than the sum of its proper divisors (86140127136).

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

27398928480 is a wasteful number, since it uses less digits than its factorization.

27398928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 27398928480 in words is "twenty-seven billion, three hundred ninety-eight million, nine hundred twenty-eight thousand, four hundred eighty".