9895955328 has 576 divisors, whose sum is σ = 35384469120. Its totient is φ = 2743372800.

The previous prime is 9895955317. The next prime is 9895955339. The reversal of 9895955328 is 8235595989.

9895955328 is a `hidden beast` number, since 9 + 8 + 9 + 5 + 95 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9895955317) and next prime (9895955339).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65536053 + ... + 65536203.

It is an arithmetic number, because the mean of its divisors is an integer number (61431370).

Almost surely, 2^9895955328 is an apocalyptic number.

9895955328 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 9895955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692234560).

9895955328 is an abundant number, since it is smaller than the sum of its proper divisors (25488513792).

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

9895955328 is a wasteful number, since it uses less digits than its factorization.

9895955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 63.

The square root of 9895955328 is about 99478.4163927030. The cubic root of 9895955328 is about 2146.9367104094.

The spelling of 9895955328 in words is "nine billion, eight hundred ninety-five million, nine hundred fifty-five thousand, three hundred twenty-eight".