267428448 has 144 divisors (see below), whose sum is σ = 877836960. Its totient is φ = 75644928.

The previous prime is 267428437. The next prime is 267428461. The reversal of 267428448 is 844824762.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 219136 + ... + 220352.

It is an arithmetic number, because the mean of its divisors is an integer number (6096090).

Almost surely, 2^267428448 is an apocalyptic number.

267428448 is a gapful number since it is divisible by the number (28) 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 267428448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438918480).

267428448 is an abundant number, since it is smaller than the sum of its proper divisors (610408512).

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

267428448 is a wasteful number, since it uses less digits than its factorization.

267428448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1338 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 267428448 is about 16353.2396790361. The cubic root of 267428448 is about 644.2719168581.

The spelling of 267428448 in words is "two hundred sixty-seven million, four hundred twenty-eight thousand, four hundred forty-eight".