495952128 has 324 divisors, whose sum is σ = 1744823808. Its totient is φ = 134830080.

The previous prime is 495952099. The next prime is 495952129. The reversal of 495952128 is 821259594.

It is a happy number.

495952128 is a `hidden beast` number, since 49 + 595 + 2 + 12 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (495952129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2596513 + ... + 2596703.

Almost surely, 2^495952128 is an apocalyptic number.

495952128 is a gapful number since it is divisible by the number (48) 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 495952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872411904).

495952128 is an abundant number, since it is smaller than the sum of its proper divisors (1248871680).

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

495952128 is a wasteful number, since it uses less digits than its factorization.

495952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 495952128 is about 22269.9826672586. The cubic root of 495952128 is about 791.5528544249.

The spelling of 495952128 in words is "four hundred ninety-five million, nine hundred fifty-two thousand, one hundred twenty-eight".