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2292728328 = 2338112192
BaseRepresentation
bin1000100010101000…
…0100001000001000
312220210011200000000
42020222010020020
514143414301303
61015301043000
7110546604102
oct21052041010
95823150000
102292728328
11a77204800
1253b9b6460
132a6cca3a7
1417a6d8572
15d6436da3
hex88a84208

2292728328 has 324 divisors, whose sum is σ = 7480094895. Its totient is φ = 658199520.

The previous prime is 2292728279. The next prime is 2292728359. The reversal of 2292728328 is 8238272922.

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 can be written as a sum of positive squares in only one way, i.e., 1146364164 + 1146364164 = 33858^2 + 33858^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33858.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 120669903 + ... + 120669921.

Almost surely, 22292728328 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 2292728328

2292728328 is an abundant number, since it is smaller than the sum of its proper divisors (5187366567).

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

2292728328 is an equidigital number, since it uses as much as digits as its factorization.

2292728328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 35 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2292728328 is about 47882.4427948283. The cubic root of 2292728328 is about 1318.6135442526.

The spelling of 2292728328 in words is "two billion, two hundred ninety-two million, seven hundred twenty-eight thousand, three hundred twenty-eight".