498421728 has 288 divisors, whose sum is σ = 1727701920. Its totient is φ = 139345920.

The previous prime is 498421697. The next prime is 498421739. The reversal of 498421728 is 827124894.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2582400 + ... + 2582592.

It is an arithmetic number, because the mean of its divisors is an integer number (5998965).

Almost surely, 2^498421728 is an apocalyptic number.

498421728 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 498421728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863850960).

498421728 is an abundant number, since it is smaller than the sum of its proper divisors (1229280192).

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

498421728 is a wasteful number, since it uses less digits than its factorization.

498421728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

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

The square root of 498421728 is about 22325.3606465831. The cubic root of 498421728 is about 792.8645288679.

The spelling of 498421728 in words is "four hundred ninety-eight million, four hundred twenty-one thousand, seven hundred twenty-eight".