7253011728 has 320 divisors, whose sum is σ = 22640217600. Its totient is φ = 2217093120.

The previous prime is 7253011723. The next prime is 7253011729. The reversal of 7253011728 is 8271103527.

7253011728 is a `hidden beast` number, since 7 + 2 + 530 + 117 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7253011692 and 7253011701.

It is not an unprimeable number, because it can be changed into a prime (7253011723) by changing a digit.

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, 40071798 + ... + 40071978.

It is an arithmetic number, because the mean of its divisors is an integer number (70750680).

Almost surely, 2^7253011728 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 7253011728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11320108800).

7253011728 is an abundant number, since it is smaller than the sum of its proper divisors (15387205872).

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

7253011728 is a wasteful number, since it uses less digits than its factorization.

7253011728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 7253011728 is about 85164.6154691020. The cubic root of 7253011728 is about 1935.7062838460.

The spelling of 7253011728 in words is "seven billion, two hundred fifty-three million, eleven thousand, seven hundred twenty-eight".