30540828 has 96 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 8951040.

The previous prime is 30540817. The next prime is 30540877. The reversal of 30540828 is 82804503.

30540828 = T₁₇ + T₁₈ + ... + T₅₆₇.

It is a junction number, because it is equal to n+sod(n) for n = 30540795 and 30540804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204898 + ... + 205046.

It is an arithmetic number, because the mean of its divisors is an integer number (840000).

Almost surely, 2^30540828 is an apocalyptic number.

30540828 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 30540828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

30540828 is an abundant number, since it is smaller than the sum of its proper divisors (50099172).

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

30540828 is a wasteful number, since it uses less digits than its factorization.

30540828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 30540828 is about 5526.3756658410. The cubic root of 30540828 is about 312.5793394284.

The spelling of 30540828 in words is "thirty million, five hundred forty thousand, eight hundred twenty-eight".