1288977408 has 176 divisors, whose sum is σ = 3985263360. Its totient is φ = 410775552.

The previous prime is 1288977377. The next prime is 1288977457. The reversal of 1288977408 is 8047798821.

It is a happy number.

It is a super-2 number, since 2×1288977408² = 3322925516668796928, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634891 + ... + 636917.

Almost surely, 2^1288977408 is an apocalyptic number.

1288977408 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 1288977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992631680).

1288977408 is an abundant number, since it is smaller than the sum of its proper divisors (2696285952).

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

1288977408 is a wasteful number, since it uses less digits than its factorization.

1288977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 1288977408 is about 35902.3315120341. The cubic root of 1288977408 is about 1088.2995138488.

The spelling of 1288977408 in words is "one billion, two hundred eighty-eight million, nine hundred seventy-seven thousand, four hundred eight".