1828978760 has 128 divisors (see below), whose sum is σ = 5035392000. Its totient is φ = 583905024.

The previous prime is 1828978759. The next prime is 1828978777. The reversal of 1828978760 is 678798281.

It is a super-2 number, since 2×1828978760² = 6690326609062275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 1828978696 and 1828978705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310967 + ... + 316793.

It is an arithmetic number, because the mean of its divisors is an integer number (39339000).

Almost surely, 2^1828978760 is an apocalyptic number.

1828978760 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 1828978760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517696000).

1828978760 is an abundant number, since it is smaller than the sum of its proper divisors (3206413240).

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

1828978760 is a wasteful number, since it uses less digits than its factorization.

1828978760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 56.

The square root of 1828978760 is about 42766.5612365549. The cubic root of 1828978760 is about 1222.9336280921.

The spelling of 1828978760 in words is "one billion, eight hundred twenty-eight million, nine hundred seventy-eight thousand, seven hundred sixty".