611252928 has 336 divisors, whose sum is σ = 2120200992. Its totient is φ = 165888000.

The previous prime is 611252911. The next prime is 611252951. The reversal of 611252928 is 829252116.

611252928 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 = 611252892 and 611252901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3376998 + ... + 3377178.

It is an arithmetic number, because the mean of its divisors is an integer number (6310122).

Almost surely, 2^611252928 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 611252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060100496).

611252928 is an abundant number, since it is smaller than the sum of its proper divisors (1508948064).

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

611252928 is a wasteful number, since it uses less digits than its factorization.

611252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 611252928 is about 24723.5298450686. The cubic root of 611252928 is about 848.6728669287.

The spelling of 611252928 in words is "six hundred eleven million, two hundred fifty-two thousand, nine hundred twenty-eight".