1828700064 has 240 divisors, whose sum is σ = 5822264448. Its totient is φ = 560867328.

The previous prime is 1828699993. The next prime is 1828700089. The reversal of 1828700064 is 4600078281.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2070567 + ... + 2071449.

Almost surely, 2^1828700064 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 1828700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911132224).

1828700064 is an abundant number, since it is smaller than the sum of its proper divisors (3993564384).

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

1828700064 is a wasteful number, since it uses less digits than its factorization.

1828700064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1828700064 is about 42763.3027723538. The cubic root of 1828700064 is about 1222.8715089046.

The spelling of 1828700064 in words is "one billion, eight hundred twenty-eight million, seven hundred thousand, sixty-four".