7201428000 has 576 divisors, whose sum is σ = 26416720512. Its totient is φ = 1713254400.

The previous prime is 7201427983. The next prime is 7201428007. The reversal of 7201428000 is 8241027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (7201428007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107483967 + ... + 107484033.

It is an arithmetic number, because the mean of its divisors is an integer number (45862362).

Almost surely, 2^7201428000 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 7201428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208360256).

7201428000 is an abundant number, since it is smaller than the sum of its proper divisors (19215292512).

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

7201428000 is a wasteful number, since it uses less digits than its factorization.

7201428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7201428000 is about 84861.2278959007. The cubic root of 7201428000 is about 1931.1064199245.

Adding to 7201428000 its reverse (8241027), we get a palindrome (7209669027).

The spelling of 7201428000 in words is "seven billion, two hundred one million, four hundred twenty-eight thousand".