1901028600 has 144 divisors (see below), whose sum is σ = 6401026320. Its totient is φ = 505612800.

The previous prime is 1901028589. The next prime is 1901028611. The reversal of 1901028600 is 68201091.

It is an interprime number because it is at equal distance from previous prime (1901028589) and next prime (1901028611).

It is a super-2 number, since 2×1901028600² = 7227819476035920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 821445 + ... + 823755.

Almost surely, 2^1901028600 is an apocalyptic number.

1901028600 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 1901028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200513160).

1901028600 is an abundant number, since it is smaller than the sum of its proper divisors (4499997720).

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

1901028600 is a wasteful number, since it uses less digits than its factorization.

1901028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1901028600 is about 43600.7866901504. The cubic root of 1901028600 is about 1238.7857954868.

Adding to 1901028600 its reverse (68201091), we get a palindrome (1969229691).

The spelling of 1901028600 in words is "one billion, nine hundred one million, twenty-eight thousand, six hundred".