9205028352 has 640 divisors, whose sum is σ = 32667909120. Its totient is φ = 2530344960.

The previous prime is 9205028341. The next prime is 9205028381. The reversal of 9205028352 is 2538205029.

9205028352 is a `hidden beast` number, since 9 + 20 + 502 + 83 + 52 = 666.

It is a super-2 number, since 2×9205028352² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70267327 + ... + 70267457.

It is an arithmetic number, because the mean of its divisors is an integer number (51043608).

Almost surely, 2^9205028352 is an apocalyptic number.

9205028352 is a gapful number since it is divisible by the number (92) 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 9205028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333954560).

9205028352 is an abundant number, since it is smaller than the sum of its proper divisors (23462880768).

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

9205028352 is a wasteful number, since it uses less digits than its factorization.

9205028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 9205028352 is about 95942.8389823858. The cubic root of 9205028352 is about 2095.7607869494.

The spelling of 9205028352 in words is "nine billion, two hundred five million, twenty-eight thousand, three hundred fifty-two".