750228728832 has 1056 divisors, whose sum is σ = 2711573190144. Its totient is φ = 204374016000.

The previous prime is 750228728827. The next prime is 750228728833. The reversal of 750228728832 is 238827822057.

750228728832 is a `hidden beast` number, since 7 + 50 + 2 + 287 + 288 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (750228728833) 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 95 ways as a sum of consecutive naturals, for example, 1070226082 + ... + 1070226782.

Almost surely, 2^750228728832 is an apocalyptic number.

750228728832 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 750228728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355786595072).

750228728832 is an abundant number, since it is smaller than the sum of its proper divisors (1961344461312).

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

750228728832 is a wasteful number, since it uses less digits than its factorization.

750228728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 750228728832 in words is "seven hundred fifty billion, two hundred twenty-eight million, seven hundred twenty-eight thousand, eight hundred thirty-two".