1267028280 has 384 divisors, whose sum is σ = 4972032000. Its totient is φ = 279417600.

The previous prime is 1267028267. The next prime is 1267028341. The reversal of 1267028280 is 828207621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3827715 + ... + 3828045.

It is an arithmetic number, because the mean of its divisors is an integer number (12948000).

Almost surely, 2^1267028280 is an apocalyptic number.

1267028280 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 1267028280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486016000).

1267028280 is an abundant number, since it is smaller than the sum of its proper divisors (3705003720).

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

1267028280 is a wasteful number, since it uses less digits than its factorization.

1267028280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1267028280 is about 35595.3407063340. The cubic root of 1267028280 is about 1082.0868088289.

It can be divided in two parts, 1 and 267028280, that added together give a square (267028281 = 16341²).

The spelling of 1267028280 in words is "one billion, two hundred sixty-seven million, twenty-eight thousand, two hundred eighty".