928006400 has 108 divisors (see below), whose sum is σ = 2325965712. Its totient is φ = 366520320.

The previous prime is 928006363. The next prime is 928006403. The reversal of 928006400 is 4600829.

It is a super-2 number, since 2×928006400² = 1722391756881920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (928006403) 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, 530327 + ... + 532073.

Almost surely, 2^928006400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162982856).

928006400 is an abundant number, since it is smaller than the sum of its proper divisors (1397959312).

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

928006400 is a wasteful number, since it uses less digits than its factorization.

928006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 928006400 is about 30463.1974684208. The cubic root of 928006400 is about 975.4020345079.

The spelling of 928006400 in words is "nine hundred twenty-eight million, six thousand, four hundred".