1828572900 has 144 divisors (see below), whose sum is σ = 6596244480. Its totient is φ = 379958400.

The previous prime is 1828572857. The next prime is 1828572919. The reversal of 1828572900 is 92758281.

It is a super-2 number, since 2×1828572900² = 6687357701228820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16480 + ... + 62679.

Almost surely, 2^1828572900 is an apocalyptic number.

1828572900 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 1828572900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298122240).

1828572900 is an abundant number, since it is smaller than the sum of its proper divisors (4767671580).

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

1828572900 is a wasteful number, since it uses less digits than its factorization.

1828572900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79194 (or 79187 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1828572900 is about 42761.8159109269. The cubic root of 1828572900 is about 1222.8431629335.

The spelling of 1828572900 in words is "one billion, eight hundred twenty-eight million, five hundred seventy-two thousand, nine hundred".