1858728960 has 528 divisors, whose sum is σ = 7434048960. Its totient is φ = 424673280.

The previous prime is 1858728953. The next prime is 1858728961. The reversal of 1858728960 is 698278581.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 1858728897 and 1858728906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1858728961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9630624 + ... + 9630816.

Almost surely, 2^1858728960 is an apocalyptic number.

1858728960 is a gapful number since it is divisible by the number (10) 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 1858728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717024480).

1858728960 is an abundant number, since it is smaller than the sum of its proper divisors (5575320000).

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

1858728960 is a wasteful number, since it uses less digits than its factorization.

1858728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 1858728960 is about 43112.9790202440. The cubic root of 1858728960 is about 1229.5287506653.

The spelling of 1858728960 in words is "one billion, eight hundred fifty-eight million, seven hundred twenty-eight thousand, nine hundred sixty".