92890848400 has 225 divisors, whose sum is σ = 261189645113. Its totient is φ = 31745884800.

The previous prime is 92890848389. The next prime is 92890848419. The reversal of 92890848400 is 484809829.

The square root of 92890848400 is 304780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33440705424 + 59450142976 = 182868^2 + 243824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 298684245 + ... + 298684555.

Almost surely, 2^92890848400 is an apocalyptic number.

92890848400 is the 304780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92890848400

92890848400 is an abundant number, since it is smaller than the sum of its proper divisors (168298796713).

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

92890848400 is an frugal number, since it uses more digits than its factorization.

92890848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 92890848400 in words is "ninety-two billion, eight hundred ninety million, eight hundred forty-eight thousand, four hundred".