4028400000 has 384 divisors, whose sum is σ = 14900608800. Its totient is φ = 1071360000.

The previous prime is 4028399993. The next prime is 4028400017. The reversal of 4028400000 is 48204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 10799814 + ... + 10800186.

Almost surely, 2^4028400000 is an apocalyptic number.

4028400000 is a gapful number since it is divisible by the number (40) 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 4028400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450304400).

4028400000 is an abundant number, since it is smaller than the sum of its proper divisors (10872208800).

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

4028400000 is an frugal number, since it uses more digits than its factorization.

4028400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4028400000 is about 63469.6777997179. The cubic root of 4028400000 is about 1591.1490448206.

Adding to 4028400000 its reverse (48204), we get a palindrome (4028448204).

The spelling of 4028400000 in words is "four billion, twenty-eight million, four hundred thousand".