1241283528 has 160 divisors (see below), whose sum is σ = 3750516000. Its totient is φ = 382268160.

The previous prime is 1241283503. The next prime is 1241283541. The reversal of 1241283528 is 8253821421.

It is a happy number.

1241283528 is a `hidden beast` number, since 1 + 2 + 4 + 128 + 3 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1241283492 and 1241283501.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 503563 + ... + 506021.

It is an arithmetic number, because the mean of its divisors is an integer number (23440725).

Almost surely, 2^1241283528 is an apocalyptic number.

1241283528 is a gapful number since it is divisible by the number (18) 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 1241283528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875258000).

1241283528 is an abundant number, since it is smaller than the sum of its proper divisors (2509232472).

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

1241283528 is a wasteful number, since it uses less digits than its factorization.

1241283528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2524 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1241283528 is about 35231.8538825308. The cubic root of 1241283528 is about 1074.7076264199.

The spelling of 1241283528 in words is "one billion, two hundred forty-one million, two hundred eighty-three thousand, five hundred twenty-eight".