493532928 has 216 divisors, whose sum is σ = 1652990976. Its totient is φ = 138700800.

The previous prime is 493532917. The next prime is 493532939. The reversal of 493532928 is 829235394.

It is a happy number.

493532928 is a `hidden beast` number, since 4 + 9 + 353 + 292 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (493532917) and next prime (493532939).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144873 + ... + 1145303.

It is an arithmetic number, because the mean of its divisors is an integer number (7652736).

Almost surely, 2^493532928 is an apocalyptic number.

493532928 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 493532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826495488).

493532928 is an abundant number, since it is smaller than the sum of its proper divisors (1159458048).

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

493532928 is a wasteful number, since it uses less digits than its factorization.

493532928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 493532928 is about 22215.6010046994. The cubic root of 493532928 is about 790.2637201048.

The spelling of 493532928 in words is "four hundred ninety-three million, five hundred thirty-two thousand, nine hundred twenty-eight".