973138428 has 96 divisors (see below), whose sum is σ = 2665152000. Its totient is φ = 306218880.

The previous prime is 973138427. The next prime is 973138501. The reversal of 973138428 is 824831379.

973138428 is a `hidden beast` number, since 97 + 3 + 138 + 428 = 666.

973138428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×973138428² = 1893996800100622368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973138421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736008 + ... + 737328.

It is an arithmetic number, because the mean of its divisors is an integer number (27762000).

Almost surely, 2^973138428 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 973138428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332576000).

973138428 is an abundant number, since it is smaller than the sum of its proper divisors (1692013572).

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

973138428 is a wasteful number, since it uses less digits than its factorization.

973138428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

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

The square root of 973138428 is about 31195.1667410194. The cubic root of 973138428 is about 990.9647528417.

The spelling of 973138428 in words is "nine hundred seventy-three million, one hundred thirty-eight thousand, four hundred twenty-eight".