1248155328 has 224 divisors, whose sum is σ = 3899879424. Its totient is φ = 344982528.

The previous prime is 1248155323. The next prime is 1248155341. The reversal of 1248155328 is 8235518421.

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

It is not an unprimeable number, because it can be changed into a prime (1248155323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7473901 + ... + 7474067.

It is an arithmetic number, because the mean of its divisors is an integer number (17410176).

Almost surely, 2^1248155328 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 1248155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949939712).

1248155328 is an abundant number, since it is smaller than the sum of its proper divisors (2651724096).

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

1248155328 is a wasteful number, since it uses less digits than its factorization.

1248155328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 1248155328 is about 35329.2418260002. The cubic root of 1248155328 is about 1076.6871874261.

The spelling of 1248155328 in words is "one billion, two hundred forty-eight million, one hundred fifty-five thousand, three hundred twenty-eight".