270528100 has 72 divisors (see below), whose sum is σ = 600149088. Its totient is φ = 105830400.

The previous prime is 270528079. The next prime is 270528109. The reversal of 270528100 is 1825072.

It is a super-2 number, since 2×270528100² = 146370905779220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270528109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401604 + ... + 1401796.

It is an arithmetic number, because the mean of its divisors is an integer number (8335404).

Almost surely, 2^270528100 is an apocalyptic number.

270528100 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 270528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300074544).

270528100 is an abundant number, since it is smaller than the sum of its proper divisors (329620988).

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

270528100 is a wasteful number, since it uses less digits than its factorization.

270528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 270528100 is about 16447.7384463640. The cubic root of 270528100 is about 646.7515240375.

The spelling of 270528100 in words is "two hundred seventy million, five hundred twenty-eight thousand, one hundred".