498254302728 has 960 divisors, whose sum is σ = 1788800112000. Its totient is φ = 126817726464.

The previous prime is 498254302709. The next prime is 498254302747. The reversal of 498254302728 is 827203452894.

498254302728 is a `hidden beast` number, since 4 + 98 + 2 + 543 + 0 + 2 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (498254302709) and next prime (498254302747).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4571140338 + ... + 4571140446.

It is an arithmetic number, because the mean of its divisors is an integer number (1863333450).

Almost surely, 2^498254302728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498254302728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894400056000).

498254302728 is an abundant number, since it is smaller than the sum of its proper divisors (1290545809272).

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

498254302728 is a wasteful number, since it uses less digits than its factorization.

498254302728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 498254302728 in words is "four hundred ninety-eight billion, two hundred fifty-four million, three hundred two thousand, seven hundred twenty-eight".