30288128 has 72 divisors (see below), whose sum is σ = 68678400. Its totient is φ = 13215744.

The previous prime is 30288127. The next prime is 30288131. The reversal of 30288128 is 82188203.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 30288094 and 30288103.

It is not an unprimeable number, because it can be changed into a prime (30288121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62993 + ... + 63471.

Almost surely, 2^30288128 is an apocalyptic number.

30288128 is a gapful number since it is divisible by the number (38) 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 30288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34339200).

30288128 is an abundant number, since it is smaller than the sum of its proper divisors (38390272).

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

30288128 is a wasteful number, since it uses less digits than its factorization.

30288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 30288128 is about 5503.4650902863. The cubic root of 30288128 is about 311.7148391640.

The spelling of 30288128 in words is "thirty million, two hundred eighty-eight thousand, one hundred twenty-eight".