928309140 has 384 divisors, whose sum is σ = 3461875200. Its totient is φ = 203857920.

The previous prime is 928309139. The next prime is 928309153. The reversal of 928309140 is 41903829.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 928309095 and 928309104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2928262 + ... + 2928578.

It is an arithmetic number, because the mean of its divisors is an integer number (9015300).

Almost surely, 2^928309140 is an apocalyptic number.

928309140 is a gapful number since it is divisible by the number (90) 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 928309140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730937600).

928309140 is an abundant number, since it is smaller than the sum of its proper divisors (2533566060).

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

928309140 is a wasteful number, since it uses less digits than its factorization.

928309140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 928309140 is about 30468.1660097880. The cubic root of 928309140 is about 975.5080902086.

The spelling of 928309140 in words is "nine hundred twenty-eight million, three hundred nine thousand, one hundred forty".