528073344 has 240 divisors, whose sum is σ = 1654506810. Its totient is φ = 167132160.

The previous prime is 528073339. The next prime is 528073369. The reversal of 528073344 is 443370825.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 403527744 + 124545600 = 20088^2 + 11160^2 .

It is a super-2 number, since 2×528073344² = 557722913286684672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 528073299 and 528073308.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9963622 + ... + 9963674.

Almost surely, 2^528073344 is an apocalyptic number.

528073344 is a gapful number since it is divisible by the number (54) 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 528073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827253405).

528073344 is an abundant number, since it is smaller than the sum of its proper divisors (1126433466).

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

528073344 is an equidigital number, since it uses as much as digits as its factorization.

528073344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 528073344 is about 22979.8464746830. The cubic root of 528073344 is about 808.2854267235.

The spelling of 528073344 in words is "five hundred twenty-eight million, seventy-three thousand, three hundred forty-four".