759428352 has 288 divisors, whose sum is σ = 2490082560. Its totient is φ = 227082240.

The previous prime is 759428339. The next prime is 759428357. The reversal of 759428352 is 253824957.

759428352 is a `hidden beast` number, since 7 + 594 + 2 + 8 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×759428352⁴ (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 759428298 and 759428307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (759428357) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2702452 + ... + 2702732.

It is an arithmetic number, because the mean of its divisors is an integer number (8646120).

Almost surely, 2^759428352 is an apocalyptic number.

759428352 is a gapful number since it is divisible by the number (72) 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 759428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245041280).

759428352 is an abundant number, since it is smaller than the sum of its proper divisors (1730654208).

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

759428352 is a wasteful number, since it uses less digits than its factorization.

759428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 759428352 is about 27557.7276276546. The cubic root of 759428352 is about 912.3516649355.

The spelling of 759428352 in words is "seven hundred fifty-nine million, four hundred twenty-eight thousand, three hundred fifty-two".