30829248 has 140 divisors (see below), whose sum is σ = 96504760. Its totient is φ = 9704448.

The previous prime is 30829243. The next prime is 30829259. The reversal of 30829248 is 84292803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30829243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98340 + ... + 98652.

Almost surely, 2^30829248 is an apocalyptic number.

30829248 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 30829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48252380).

30829248 is an abundant number, since it is smaller than the sum of its proper divisors (65675512).

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

30829248 is a wasteful number, since it uses less digits than its factorization.

30829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30829248 is about 5552.4092068218. The cubic root of 30829248 is about 313.5602320112.

The spelling of 30829248 in words is "thirty million, eight hundred twenty-nine thousand, two hundred forty-eight".