496153728 has 128 divisors (see below), whose sum is σ = 1673616000. Its totient is φ = 141751296.

The previous prime is 496153717. The next prime is 496153787. The reversal of 496153728 is 827351694.

496153728 is a `hidden beast` number, since 4 + 9 + 615 + 3 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13938 + ... + 34446.

It is an arithmetic number, because the mean of its divisors is an integer number (13075125).

Almost surely, 2^496153728 is an apocalyptic number.

496153728 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 496153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836808000).

496153728 is an abundant number, since it is smaller than the sum of its proper divisors (1177462272).

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

496153728 is a wasteful number, since it uses less digits than its factorization.

496153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20539 (or 20521 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 496153728 is about 22274.5084794255. The cubic root of 496153728 is about 791.6600928922.

The spelling of 496153728 in words is "four hundred ninety-six million, one hundred fifty-three thousand, seven hundred twenty-eight".