1656928728 has 288 divisors, whose sum is σ = 5681052000. Its totient is φ = 435891456.

The previous prime is 1656928727. The next prime is 1656928733. The reversal of 1656928728 is 8278296561.

1656928728 is a `hidden beast` number, since 1 + 6 + 569 + 2 + 8 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656928727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4173426 + ... + 4173822.

It is an arithmetic number, because the mean of its divisors is an integer number (19725875).

Almost surely, 2^1656928728 is an apocalyptic number.

1656928728 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 1656928728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840526000).

1656928728 is an abundant number, since it is smaller than the sum of its proper divisors (4024123272).

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

1656928728 is a wasteful number, since it uses less digits than its factorization.

1656928728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 422 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 1656928728 is about 40705.3894220409. The cubic root of 1656928728 is about 1183.3174690372.

The spelling of 1656928728 in words is "one billion, six hundred fifty-six million, nine hundred twenty-eight thousand, seven hundred twenty-eight".