1023828480 has 240 divisors, whose sum is σ = 3644670744. Its totient is φ = 265420800.

The previous prime is 1023828479. The next prime is 1023828493. The reversal of 1023828480 is 848283201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 689377536 + 334450944 = 26256^2 + 18288^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1023828480² = 2096449512918220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851880 + ... + 853080.

Almost surely, 2^1023828480 is an apocalyptic number.

1023828480 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 1023828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822335372).

1023828480 is an abundant number, since it is smaller than the sum of its proper divisors (2620842264).

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

1023828480 is a wasteful number, since it uses less digits than its factorization.

1023828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1023828480 is about 31997.3198877656. The cubic root of 1023828480 is about 1007.8805602999.

The spelling of 1023828480 in words is "one billion, twenty-three million, eight hundred twenty-eight thousand, four hundred eighty".