1038285248 has 224 divisors, whose sum is σ = 2915351040. Its totient is φ = 353341440.

The previous prime is 1038285247. The next prime is 1038285293. The reversal of 1038285248 is 8425828301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038285247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216790 + ... + 1217642.

It is an arithmetic number, because the mean of its divisors is an integer number (13014960).

Almost surely, 2^1038285248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457675520).

1038285248 is an abundant number, since it is smaller than the sum of its proper divisors (1877065792).

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

1038285248 is a wasteful number, since it uses less digits than its factorization.

1038285248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 1038285248 is about 32222.4339242088. The cubic root of 1038285248 is about 1012.6022650961.

The spelling of 1038285248 in words is "one billion, thirty-eight million, two hundred eighty-five thousand, two hundred forty-eight".