281248128 has 96 divisors (see below), whose sum is σ = 924964560. Its totient is φ = 80354304.

The previous prime is 281248091. The next prime is 281248129. The reversal of 281248128 is 821842182.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 281248092 and 281248101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281248129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9375 + ... + 25502.

Almost surely, 2^281248128 is an apocalyptic number.

281248128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

281248128 is an abundant number, since it is smaller than the sum of its proper divisors (643716432).

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

281248128 is a wasteful number, since it uses less digits than its factorization.

281248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34904 (or 34889 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 281248128 is about 16770.4540188988. The cubic root of 281248128 is about 655.1838949111.

The spelling of 281248128 in words is "two hundred eighty-one million, two hundred forty-eight thousand, one hundred twenty-eight".