1476685728 has 168 divisors, whose sum is σ = 4982086368. Its totient is φ = 421863552.

The previous prime is 1476685699. The next prime is 1476685729. The reversal of 1476685728 is 8275866741.

1476685728 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 68 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (1476685729) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 158775 + ... + 167817.

It is an arithmetic number, because the mean of its divisors is an integer number (29655276).

Almost surely, 2^1476685728 is an apocalyptic number.

1476685728 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 1476685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491043184).

1476685728 is an abundant number, since it is smaller than the sum of its proper divisors (3505400640).

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

1476685728 is an frugal number, since it uses more digits than its factorization.

1476685728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9055 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 1476685728 is about 38427.6687817515. The cubic root of 1476685728 is about 1138.7525412683.

The spelling of 1476685728 in words is "one billion, four hundred seventy-six million, six hundred eighty-five thousand, seven hundred twenty-eight".