275505404328 has 1152 divisors, whose sum is σ = 1033359949440. Its totient is φ = 68497228800.

The previous prime is 275505404327. The next prime is 275505404393. The reversal of 275505404328 is 823404505572.

275505404328 is a `hidden beast` number, since 2 + 7 + 550 + 54 + 0 + 43 + 2 + 8 = 666.

It is a super-2 number, since 2×275505404328² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275505404327) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5198215150 + ... + 5198215202.

It is an arithmetic number, because the mean of its divisors is an integer number (897013845).

Almost surely, 2^275505404328 is an apocalyptic number.

275505404328 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 275505404328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516679974720).

275505404328 is an abundant number, since it is smaller than the sum of its proper divisors (757854545112).

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

275505404328 is a wasteful number, since it uses less digits than its factorization.

275505404328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 275505404328 in words is "two hundred seventy-five billion, five hundred five million, four hundred four thousand, three hundred twenty-eight".