1284748128 has 240 divisors, whose sum is σ = 3981035520. Its totient is φ = 405907200.

The previous prime is 1284748117. The next prime is 1284748141. The reversal of 1284748128 is 8218474821.

1284748128 is a `hidden beast` number, since 128 + 47 + 481 + 2 + 8 = 666.

It is a congruent number.

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, 4740633 + ... + 4740903.

It is an arithmetic number, because the mean of its divisors is an integer number (16587648).

Almost surely, 2^1284748128 is an apocalyptic number.

1284748128 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 1284748128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990517760).

1284748128 is an abundant number, since it is smaller than the sum of its proper divisors (2696287392).

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

1284748128 is a wasteful number, since it uses less digits than its factorization.

1284748128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 1284748128 is about 35843.3833224488. The cubic root of 1284748128 is about 1087.1079319138.

The spelling of 1284748128 in words is "one billion, two hundred eighty-four million, seven hundred forty-eight thousand, one hundred twenty-eight".