7148728400 has 180 divisors, whose sum is σ = 19043114496. Its totient is φ = 2576851200.

The previous prime is 7148728393. The next prime is 7148728421. The reversal of 7148728400 is 48278417.

It is a happy number.

It is a super-2 number, since 2×7148728400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6146219 + ... + 6147381.

Almost surely, 2^7148728400 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 7148728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521557248).

7148728400 is an abundant number, since it is smaller than the sum of its proper divisors (11894386096).

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

7148728400 is a wasteful number, since it uses less digits than its factorization.

7148728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 41.

The square root of 7148728400 is about 84550.1531636697. The cubic root of 7148728400 is about 1926.3843103954.

The spelling of 7148728400 in words is "seven billion, one hundred forty-eight million, seven hundred twenty-eight thousand, four hundred".