9028342278400 has 405 divisors, whose sum is σ = 23695987849513. Its totient is φ = 3405669836800.

The previous prime is 9028342278313. The next prime is 9028342278407. The reversal of 9028342278400 is 48722438209.

The square root of 9028342278400 is 3004720.

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., 3250203220224 + 5778139058176 = 1802832^2 + 2403776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9028342278407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 127159750365 + ... + 127159750435.

Almost surely, 2^{9028342278400} is an apocalyptic number.

9028342278400 is the 3004720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9028342278400

9028342278400 is an abundant number, since it is smaller than the sum of its proper divisors (14667645571113).

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

9028342278400 is an frugal number, since it uses more digits than its factorization.

9028342278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 9028342278400 by its sum of digits (49), we get a square (442388771641600 = 21033040²).

The spelling of 9028342278400 in words is "nine trillion, twenty-eight billion, three hundred forty-two million, two hundred seventy-eight thousand, four hundred".