3528957248 has 56 divisors (see below), whose sum is σ = 7551237120. Its totient is φ = 1630817280.

The previous prime is 3528957227. The next prime is 3528957269. The reversal of 3528957248 is 8427598253.

It is an interprime number because it is at equal distance from previous prime (3528957227) and next prime (3528957269).

It is a self number, because there is not a number n which added to its sum of digits gives 3528957248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14465 + ... + 85247.

It is an arithmetic number, because the mean of its divisors is an integer number (134843520).

Almost surely, 2^3528957248 is an apocalyptic number.

3528957248 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 3528957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775618560).

3528957248 is an abundant number, since it is smaller than the sum of its proper divisors (4022279872).

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

3528957248 is a wasteful number, since it uses less digits than its factorization.

3528957248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70855 (or 70845 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 53.

The square root of 3528957248 is about 59405.0271273400. The cubic root of 3528957248 is about 1522.4701939713.

The spelling of 3528957248 in words is "three billion, five hundred twenty-eight million, nine hundred fifty-seven thousand, two hundred forty-eight".