27428544000 has 1600 divisors, whose sum is σ = 123275984832. Its totient is φ = 5971968000.

The previous prime is 27428543999. The next prime is 27428544007. The reversal of 27428544000 is 44582472.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27428544007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 741311982 + ... + 741312018.

Almost surely, 2^27428544000 is an apocalyptic number.

27428544000 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 27428544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61637992416).

27428544000 is an abundant number, since it is smaller than the sum of its proper divisors (95847440832).

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

27428544000 is a wasteful number, since it uses less digits than its factorization.

27428544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 27428544000 in words is "twenty-seven billion, four hundred twenty-eight million, five hundred forty-four thousand".