1288434000 has 160 divisors (see below), whose sum is σ = 4747481856. Its totient is φ = 294489600.

The previous prime is 1288433981. The next prime is 1288434041. The reversal of 1288434000 is 4348821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26662 + ... + 57338.

Almost surely, 2^1288434000 is an apocalyptic number.

1288434000 is a gapful number since it is divisible by the number (10) 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 1288434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373740928).

1288434000 is an abundant number, since it is smaller than the sum of its proper divisors (3459047856).

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

1288434000 is a wasteful number, since it uses less digits than its factorization.

1288434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30710 (or 30694 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1288434000 is about 35894.7628491957. The cubic root of 1288434000 is about 1088.1465569947.

It can be divided in two parts, 12 and 88434000, that multiplied together give a cube (1061208000 = 1020³).

The spelling of 1288434000 in words is "one billion, two hundred eighty-eight million, four hundred thirty-four thousand".