916489728 has 600 divisors, whose sum is σ = 3556038024. Its totient is φ = 232243200.

The previous prime is 916489711. The next prime is 916489729. The reversal of 916489728 is 827984619.

916489728 is a `hidden beast` number, since 91 + 6 + 489 + 72 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1741824) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916489729) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22353388 + ... + 22353428.

Almost surely, 2^916489728 is an apocalyptic number.

916489728 is a gapful number since it is divisible by the number (98) 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 916489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778019012).

916489728 is an abundant number, since it is smaller than the sum of its proper divisors (2639548296).

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

916489728 is a wasteful number, since it uses less digits than its factorization.

916489728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 916489728 is about 30273.5813540453. The cubic root of 916489728 is about 971.3502745265.

The spelling of 916489728 in words is "nine hundred sixteen million, four hundred eighty-nine thousand, seven hundred twenty-eight".