27828528 has 160 divisors (see below), whose sum is σ = 92660736. Its totient is φ = 6994944.

The previous prime is 27828497. The next prime is 27828529. The reversal of 27828528 is 82582872.

27828528 = 917² + 918² + ... + 948².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 27828528.

It is not an unprimeable number, because it can be changed into a prime (27828529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100326 + ... + 100602.

Almost surely, 2^27828528 is an apocalyptic number.

27828528 is a gapful number since it is divisible by the number (28) 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 27828528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46330368).

27828528 is an abundant number, since it is smaller than the sum of its proper divisors (64832208).

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

27828528 is a wasteful number, since it uses less digits than its factorization.

27828528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 27828528 is about 5275.2751587003. The cubic root of 27828528 is about 303.0377584768.

The spelling of 27828528 in words is "twenty-seven million, eight hundred twenty-eight thousand, five hundred twenty-eight".