34828500 has 192 divisors, whose sum is σ = 120766464. Its totient is φ = 7632000.

The previous prime is 34828489. The next prime is 34828513. The reversal of 34828500 is 582843.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 325447 + ... + 325553.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 2^34828500 is an apocalyptic number.

34828500 is a gapful number since it is divisible by the number (30) 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 34828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

34828500 is an abundant number, since it is smaller than the sum of its proper divisors (85937964).

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

34828500 is a wasteful number, since it uses less digits than its factorization.

34828500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

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

The square root of 34828500 is about 5901.5675883616. The cubic root of 34828500 is about 326.5714818237.

The spelling of 34828500 in words is "thirty-four million, eight hundred twenty-eight thousand, five hundred".