1403641728 has 96 divisors (see below), whose sum is σ = 4063049640. Its totient is φ = 465110016.

The previous prime is 1403641727. The next prime is 1403641807. The reversal of 1403641728 is 8271463041.

1403641728 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 641 + 7 + 2 + 8 = 666.

1403641728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1403641692 and 1403641701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403641727) 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, 195775 + ... + 202817.

Almost surely, 2^1403641728 is an apocalyptic number.

1403641728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1403641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031524820).

1403641728 is an abundant number, since it is smaller than the sum of its proper divisors (2659407912).

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

1403641728 is a wasteful number, since it uses less digits than its factorization.

1403641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7221 counting only the distinct ones).

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

The square root of 1403641728 is about 37465.2068992018. The cubic root of 1403641728 is about 1119.6580929141.

The spelling of 1403641728 in words is "one billion, four hundred three million, six hundred forty-one thousand, seven hundred twenty-eight".