Search a number
995328000 = 2153553

995328000 has 384 divisors, whose sum is σ = 3721339440. Its totient is φ = 265420800.

The previous prime is 995327989. The next prime is 995328011. The reversal of 995328000 is 823599.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)2 ⋅ 5! ⋅ (2!)4.

It is an interprime number because it is at equal distance from previous prime (995327989) and next prime (995328011).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199065598 + ... + 199065602.

Almost surely, 2995328000 is an apocalyptic number.

995328000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

995328000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860669720).

995328000 is an abundant number, since it is smaller than the sum of its proper divisors (2726011440).

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

995328000 is an frugal number, since it uses more digits than its factorization.

995328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 995328000 is about 31548.8193122976. The cubic root of 995328000 is about 998.4402350649.

The spelling of 995328000 in words is "nine hundred ninety-five million, three hundred twenty-eight thousand".