1284738048 has 528 divisors, whose sum is σ = 4598380800. Its totient is φ = 340623360.

The previous prime is 1284738017. The next prime is 1284738149. The reversal of 1284738048 is 8408374821.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 1284737994 and 1284738012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44301298 + ... + 44301326.

Almost surely, 2^1284738048 is an apocalyptic number.

1284738048 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 1284738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299190400).

1284738048 is an abundant number, since it is smaller than the sum of its proper divisors (3313642752).

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

1284738048 is a wasteful number, since it uses less digits than its factorization.

1284738048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 1284738048 is about 35843.2427104468. The cubic root of 1284738048 is about 1087.1050887945.

The spelling of 1284738048 in words is "one billion, two hundred eighty-four million, seven hundred thirty-eight thousand, forty-eight".