747952128 has 576 divisors, whose sum is σ = 2943682560. Its totient is φ = 176947200.

The previous prime is 747952109. The next prime is 747952129. The reversal of 747952128 is 821259747.

It is a happy number.

747952128 is a `hidden beast` number, since 7 + 479 + 52 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747952129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24127473 + ... + 24127503.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2^747952128 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 747952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471841280).

747952128 is an abundant number, since it is smaller than the sum of its proper divisors (2195730432).

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

747952128 is a wasteful number, since it uses less digits than its factorization.

747952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 747952128 is about 27348.7134615141. The cubic root of 747952128 is about 907.7326025350.

The spelling of 747952128 in words is "seven hundred forty-seven million, nine hundred fifty-two thousand, one hundred twenty-eight".