498972528 has 320 divisors, whose sum is σ = 1628467200. Its totient is φ = 145566720.

The previous prime is 498972527. The next prime is 498972563. The reversal of 498972528 is 825279894.

498972528 is a `hidden beast` number, since 49 + 8 + 9 + 72 + 528 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498972527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9414550 + ... + 9414602.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2^498972528 is an apocalyptic number.

498972528 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 498972528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

498972528 is an abundant number, since it is smaller than the sum of its proper divisors (1129494672).

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

498972528 is a wasteful number, since it uses less digits than its factorization.

498972528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 498972528 is about 22337.6929874148. The cubic root of 498972528 is about 793.1564831100.

It can be divided in two parts, 498972 and 528, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 498972528 in words is "four hundred ninety-eight million, nine hundred seventy-two thousand, five hundred twenty-eight".