1878877728 has 384 divisors, whose sum is σ = 7044710400. Its totient is φ = 473527296.

The previous prime is 1878877727. The next prime is 1878877739. The reversal of 1878877728 is 8277788781.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1878877727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1807833 + ... + 1808871.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^1878877728 is an apocalyptic number.

1878877728 is a gapful number since it is divisible by the number (18) 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 1878877728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522355200).

1878877728 is an abundant number, since it is smaller than the sum of its proper divisors (5165832672).

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

1878877728 is a wasteful number, since it uses less digits than its factorization.

1878877728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

The product of its digits is 19668992, while the sum is 63.

The square root of 1878877728 is about 43346.0232085943. The cubic root of 1878877728 is about 1233.9555228977.

The spelling of 1878877728 in words is "one billion, eight hundred seventy-eight million, eight hundred seventy-seven thousand, seven hundred twenty-eight".