28530588100 has 243 divisors, whose sum is σ = 76612559373. Its totient is φ = 9194109120.

The previous prime is 28530588071. The next prime is 28530588127. The reversal of 28530588100 is 188503582.

The square root of 28530588100 is 168910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10271011716 + 18259576384 = 101346^2 + 135128^2 .

It is a super-3 number, since 3×28530588100³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 224650237 + ... + 224650363.

Almost surely, 2^28530588100 is an apocalyptic number.

28530588100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28530588100 is the 168910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28530588100

28530588100 is an abundant number, since it is smaller than the sum of its proper divisors (48081971273).

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

28530588100 is a wasteful number, since it uses less digits than its factorization.

28530588100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 28530588100 in words is "twenty-eight billion, five hundred thirty million, five hundred eighty-eight thousand, one hundred".