30284672 has 64 divisors (see below), whose sum is σ = 66720240. Its totient is φ = 13578240.

The previous prime is 30284663. The next prime is 30284693. The reversal of 30284672 is 27648203.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×30284672² = 1834322716295168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192818 + ... + 192974.

Almost surely, 2^30284672 is an apocalyptic number.

30284672 is a gapful number since it is divisible by the number (32) 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 30284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33360120).

30284672 is an abundant number, since it is smaller than the sum of its proper divisors (36435568).

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

30284672 is a wasteful number, since it uses less digits than its factorization.

30284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 30284672 is about 5503.1510973260. The cubic root of 30284672 is about 311.7029827313.

The spelling of 30284672 in words is "thirty million, two hundred eighty-four thousand, six hundred seventy-two".