1658449728 has 252 divisors, whose sum is σ = 5346545568. Its totient is φ = 509483520.

The previous prime is 1658449721. The next prime is 1658449729. The reversal of 1658449728 is 8279448561.

It is a happy number.

1658449728 is a `hidden beast` number, since 16 + 584 + 49 + 7 + 2 + 8 = 666.

1658449728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1658449721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2627973 + ... + 2628603.

Almost surely, 2^1658449728 is an apocalyptic number.

1658449728 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 1658449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673272784).

1658449728 is an abundant number, since it is smaller than the sum of its proper divisors (3688095840).

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

1658449728 is an equidigital number, since it uses as much as digits as its factorization.

1658449728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 649 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1658449728 is about 40724.0681661349. The cubic root of 1658449728 is about 1183.6794390274.

The spelling of 1658449728 in words is "one billion, six hundred fifty-eight million, four hundred forty-nine thousand, seven hundred twenty-eight".