1288078848 has 560 divisors, whose sum is σ = 4830360480. Its totient is φ = 334430208.

The previous prime is 1288078801. The next prime is 1288078859. The reversal of 1288078848 is 8488708821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1288078794 and 1288078803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 44416498 + ... + 44416526.

Almost surely, 2^1288078848 is an apocalyptic number.

1288078848 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 1288078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415180240).

1288078848 is an abundant number, since it is smaller than the sum of its proper divisors (3542281632).

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

1288078848 is an frugal number, since it uses more digits than its factorization.

1288078848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The square root of 1288078848 is about 35889.8153798539. The cubic root of 1288078848 is about 1088.0465666344.

The spelling of 1288078848 in words is "one billion, two hundred eighty-eight million, seventy-eight thousand, eight hundred forty-eight".