4092049728 has 252 divisors, whose sum is σ = 12839443968. Its totient is φ = 1245404160.

The previous prime is 4092049711. The next prime is 4092049747. The reversal of 4092049728 is 8279402904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12362523 + ... + 12362853.

Almost surely, 2^4092049728 is an apocalyptic number.

4092049728 is a gapful number since it is divisible by the number (48) 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 4092049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419721984).

4092049728 is an abundant number, since it is smaller than the sum of its proper divisors (8747394240).

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

4092049728 is a wasteful number, since it uses less digits than its factorization.

4092049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4092049728 is about 63969.1310555333. The cubic root of 4092049728 is about 1599.4854762252.

The spelling of 4092049728 in words is "four billion, ninety-two million, forty-nine thousand, seven hundred twenty-eight".