755216028 has 384 divisors, whose sum is σ = 2553600000. Its totient is φ = 192036096.

The previous prime is 755215969. The next prime is 755216089. The reversal of 755216028 is 820612557.

It is a happy number.

755216028 is a `hidden beast` number, since 75 + 521 + 60 + 2 + 8 = 666.

755216028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 755215983 and 755216001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20411226 + ... + 20411262.

It is an arithmetic number, because the mean of its divisors is an integer number (6650000).

Almost surely, 2^755216028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755216028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800000).

755216028 is an abundant number, since it is smaller than the sum of its proper divisors (1798383972).

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

755216028 is a wasteful number, since it uses less digits than its factorization.

755216028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 755216028 is about 27481.1940788605. The cubic root of 755216028 is about 910.6616883751.

The spelling of 755216028 in words is "seven hundred fifty-five million, two hundred sixteen thousand, twenty-eight".