966587328 has 252 divisors, whose sum is σ = 3365266320. Its totient is φ = 263983104.

The previous prime is 966587327. The next prime is 966587333. The reversal of 966587328 is 823785669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966587327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648408 + ... + 649896.

Almost surely, 2^966587328 is an apocalyptic number.

966587328 is a gapful number since it is divisible by the number (98) 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 966587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682633160).

966587328 is an abundant number, since it is smaller than the sum of its proper divisors (2398678992).

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

966587328 is a wasteful number, since it uses less digits than its factorization.

966587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1524 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 966587328 is about 31089.9875844298. The cubic root of 966587328 is about 988.7360423017.

The spelling of 966587328 in words is "nine hundred sixty-six million, five hundred eighty-seven thousand, three hundred twenty-eight".