274948128 has 288 divisors, whose sum is σ = 996105600. Its totient is φ = 72244224.

The previous prime is 274948127. The next prime is 274948169. The reversal of 274948128 is 821849472.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (274948127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021978 + ... + 1022246.

It is an arithmetic number, because the mean of its divisors is an integer number (3458700).

Almost surely, 2^274948128 is an apocalyptic number.

274948128 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 274948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498052800).

274948128 is an abundant number, since it is smaller than the sum of its proper divisors (721157472).

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

274948128 is a wasteful number, since it uses less digits than its factorization.

274948128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 274948128 is about 16581.5598783709. The cubic root of 274948128 is about 650.2548334125.

It can be divided in two parts, 27494812 and 8, that added together give a triangular number (27494820 = T₇₄₁₅).

The spelling of 274948128 in words is "two hundred seventy-four million, nine hundred forty-eight thousand, one hundred twenty-eight".