7202138328 has 640 divisors, whose sum is σ = 27097804800. Its totient is φ = 1730937600.

The previous prime is 7202138299. The next prime is 7202138329. The reversal of 7202138328 is 8238312027.

It is a happy number.

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 = 7202138292 and 7202138301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7202138329) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67309651 + ... + 67309757.

It is an arithmetic number, because the mean of its divisors is an integer number (42340320).

Almost surely, 2^7202138328 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 7202138328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13548902400).

7202138328 is an abundant number, since it is smaller than the sum of its proper divisors (19895666472).

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

7202138328 is a wasteful number, since it uses less digits than its factorization.

7202138328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7202138328 is about 84865.4130255665. The cubic root of 7202138328 is about 1931.1699107517.

It can be divided in two parts, 7202 and 138328, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 7202138328 in words is "seven billion, two hundred two million, one hundred thirty-eight thousand, three hundred twenty-eight".