27451728 has 60 divisors (see below), whose sum is σ = 77182560. Its totient is φ = 9108288.

The previous prime is 27451717. The next prime is 27451729. The reversal of 27451728 is 82715472.

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

Its product of digits (31360) is a multiple of the sum of its prime factors (896).

It is a junction number, because it is equal to n+sod(n) for n = 27451692 and 27451701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27451729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54325 + ... + 54827.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^27451728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27451728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38591280).

27451728 is an abundant number, since it is smaller than the sum of its proper divisors (49730832).

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

27451728 is a wasteful number, since it uses less digits than its factorization.

27451728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 887 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 27451728 is about 5239.4396646970. The cubic root of 27451728 is about 301.6638219295.

It can be divided in two parts, 2 and 7451728, that added together give a triangular number (7451730 = T₃₈₆₀).

The spelling of 27451728 in words is "twenty-seven million, four hundred fifty-one thousand, seven hundred twenty-eight".