1378028600 has 96 divisors (see below), whose sum is σ = 3494568000. Its totient is φ = 502295040.

The previous prime is 1378028591. The next prime is 1378028609. The reversal of 1378028600 is 68208731.

It is an interprime number because it is at equal distance from previous prime (1378028591) and next prime (1378028609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378028609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202046 + ... + 208754.

It is an arithmetic number, because the mean of its divisors is an integer number (36401750).

Almost surely, 2^1378028600 is an apocalyptic number.

1378028600 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 1378028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747284000).

1378028600 is an abundant number, since it is smaller than the sum of its proper divisors (2116539400).

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

1378028600 is a wasteful number, since it uses less digits than its factorization.

1378028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1378028600 is about 37121.8076068502. The cubic root of 1378028600 is about 1112.8058764199.

The spelling of 1378028600 in words is "one billion, three hundred seventy-eight million, twenty-eight thousand, six hundred".