4132285248 has 504 divisors, whose sum is σ = 14497921728. Its totient is φ = 1033224192.

The previous prime is 4132285229. The next prime is 4132285259. The reversal of 4132285248 is 8425822314.

4132285248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36568840 + ... + 36568952.

Almost surely, 2^4132285248 is an apocalyptic number.

4132285248 is a gapful number since it is divisible by the number (48) 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 4132285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7248960864).

4132285248 is an abundant number, since it is smaller than the sum of its proper divisors (10365636480).

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

4132285248 is a wasteful number, since it uses less digits than its factorization.

4132285248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 4132285248 is about 64282.8534525343. The cubic root of 4132285248 is about 1604.7107585263.

The spelling of 4132285248 in words is "four billion, one hundred thirty-two million, two hundred eighty-five thousand, two hundred forty-eight".