701641728 has 132 divisors (see below), whose sum is σ = 2133137760. Its totient is φ = 221515776.

The previous prime is 701641727. The next prime is 701641729. The reversal of 701641728 is 827146107.

701641728 is a `hidden beast` number, since 7 + 0 + 1 + 641 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (701641727) and next prime (701641729).

It is a super-2 number, since 2×701641728² = 984602228941651968, which contains 22 as substring.

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 = 701641692 and 701641701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701641723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173101 + ... + 177107.

Almost surely, 2^701641728 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 701641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066568880).

701641728 is an abundant number, since it is smaller than the sum of its proper divisors (1431496032).

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

701641728 is a wasteful number, since it uses less digits than its factorization.

701641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 701641728 is about 26488.5206834961. The cubic root of 701641728 is about 888.5976011484.

The spelling of 701641728 in words is "seven hundred one million, six hundred forty-one thousand, seven hundred twenty-eight".