1958983488 has 224 divisors, whose sum is σ = 7180600320. Its totient is φ = 508792320.

The previous prime is 1958983459. The next prime is 1958983489. The reversal of 1958983488 is 8843898591.

It is a happy number.

1958983488 is a `hidden beast` number, since 1 + 9 + 589 + 8 + 3 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1958983488² = 7675232612513292288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958983489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125695 + ... + 140417.

Almost surely, 2^1958983488 is an apocalyptic number.

1958983488 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 1958983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590300160).

1958983488 is an abundant number, since it is smaller than the sum of its proper divisors (5221616832).

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

1958983488 is a wasteful number, since it uses less digits than its factorization.

1958983488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14746 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The square root of 1958983488 is about 44260.4054206466. The cubic root of 1958983488 is about 1251.2485632300.

The spelling of 1958983488 in words is "one billion, nine hundred fifty-eight million, nine hundred eighty-three thousand, four hundred eighty-eight".